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p_0",[575,1156,1158,1240],{"className":1157,"ariaHidden":613},[612],[575,1159,1161,1164,1204,1207,1210,1213,1216,1219,1225,1228,1231,1234,1237],{"className":1160},[617],[575,1162],{"className":1163,"style":826},[621],[575,1165,1167,1170],{"className":1166},[626],[575,1168,599],{"className":1169,"style":631},[626,630],[575,1171,1173],{"className":1172},[635],[575,1174,1176,1196],{"className":1175},[639,640],[575,1177,1179,1193],{"className":1178},[644],[575,1180,1182],{"className":1181,"style":649},[648],[575,1183,1184,1187],{"style":652},[575,1185],{"className":1186,"style":657},[656],[575,1188,1190],{"className":1189},[661,662,663,664],[575,1191,781],{"className":1192},[626,664],[575,1194,672],{"className":1195},[671],[575,1197,1199],{"className":1198},[644],[575,1200,1202],{"className":1201,"style":679},[648],[575,1203],{},[575,1205],{"className":1206},[783,870],[575,1208],{"className":1209,"style":874},[783],[575,1211],{"className":1212},[878],[575,1214],{"className":1215,"style":882},[783],[575,1217],{"className":1218,"style":886},[783],[575,1220,1222],{"className":1221},[626],[575,1223,799],{"className":1224},[893],[575,1226],{"className":1227,"style":897},[783],[575,1229,566],{"className":1230},[626,630],[575,1232],{"className":1233,"style":904},[783],[575,1235,1145],{"className":1236},[893],[575,1238],{"className":1239,"style":904},[783],[575,1241,1243,1246],{"className":1242},[617],[575,1244],{"className":1245,"style":713},[621],[575,1247,1249,1252],{"className":1248},[626],[575,1250,566],{"className":1251},[626,630],[575,1253,1255],{"className":1254},[635],[575,1256,1258,1278],{"className":1257},[639,640],[575,1259,1261,1275],{"className":1260},[644],[575,1262,1264],{"className":1263,"style":649},[648],[575,1265,1266,1269],{"style":734},[575,1267],{"className":1268,"style":657},[656],[575,1270,1272],{"className":1271},[661,662,663,664],[575,1273,603],{"className":1274},[626,664],[575,1276,672],{"className":1277},[671],[575,1279,1281],{"className":1280},[644],[575,1282,1284],{"className":1283,"style":679},[648],[575,1285],{},"): ",[575,1288,1290,1333],{"className":1289},[578],[575,1291,1293],{"className":1292},[582],[584,1294,1295],{"xmlns":586},[588,1296,1297,1330],{},[591,1298,1299,1308,1311,1314,1316,1319,1322,1324,1327],{},[1300,1301,1302,1305],"mover",{"accent":613},[597,1303,1304],{},"A",[789,1306,1307],{"stretchy":613},"‾",[789,1309,1310],{},"=",[789,1312,1313],{"stretchy":1007},"{",[597,1315,972],{},[789,1317,1318],{"separator":613},";",[789,1320,1321],{},"…",[789,1323,1318],{"separator":613},[597,1325,1326],{},"n",[789,1328,1329],{"stretchy":1007},"}",[605,1331,1332],{"encoding":607},"\\overline{A} = \\{k; \\ldots; n\\}",[575,1334,1336,1389],{"className":1335,"ariaHidden":613},[612],[575,1337,1339,1343,1380,1383,1386],{"className":1338},[617],[575,1340],{"className":1341,"style":1342},[621],"height:0.8833em;",[575,1344,1347],{"className":1345},[626,1346],"overline",[575,1348,1350],{"className":1349},[639],[575,1351,1353],{"className":1352},[644],[575,1354,1356,1369],{"className":1355,"style":1342},[648],[575,1357,1359,1363],{"style":1358},"top:-3em;",[575,1360],{"className":1361,"style":1362},[656],"height:3em;",[575,1364,1366],{"className":1365},[626],[575,1367,1304],{"className":1368},[626,630],[575,1370,1372,1375],{"style":1371},"top:-3.8033em;",[575,1373],{"className":1374,"style":1362},[656],[575,1376],{"className":1377,"style":1379},[1378],"overline-line","border-bottom-width:0.04em;",[575,1381],{"className":1382,"style":904},[783],[575,1384,1310],{"className":1385},[893],[575,1387],{"className":1388,"style":904},[783],[575,1390,1392,1395,1398,1401,1404,1407,1411,1414,1417,1420,1423],{"className":1391},[617],[575,1393],{"className":1394,"style":1032},[621],[575,1396,1313],{"className":1397},[1040],[575,1399,972],{"className":1400,"style":988},[626,630],[575,1402,1318],{"className":1403},[878],[575,1405],{"className":1406,"style":886},[783],[575,1408,1321],{"className":1409},[1410],"minner",[575,1412],{"className":1413,"style":886},[783],[575,1415,1318],{"className":1416},[878],[575,1418],{"className":1419,"style":886},[783],[575,1421,1326],{"className":1422},[626,630],[575,1424,1329],{"className":1425},[1066]," mit dem kleinsten ",[575,1428,1430,1443],{"className":1429},[578],[575,1431,1433],{"className":1432},[582],[584,1434,1435],{"xmlns":586},[588,1436,1437,1441],{},[591,1438,1439],{},[597,1440,972],{},[605,1442,972],{"encoding":607},[575,1444,1446],{"className":1445,"ariaHidden":613},[612],[575,1447,1449,1452],{"className":1448},[617],[575,1450],{"className":1451,"style":984},[621],[575,1453,972],{"className":1454,"style":988},[626,630],", für das ",[575,1457,1459,1511],{"className":1458},[578],[575,1460,1462],{"className":1461},[582],[584,1463,1464],{"xmlns":586},[588,1465,1466,1508],{},[591,1467,1468,1470,1472,1474,1477,1479,1481,1483,1485,1488,1490,1492,1494,1496,1498,1500,1502,1504,1506],{},[597,1469,1004],{},[789,1471,1008],{"stretchy":1007},[597,1473,1011],{},[789,1475,1476],{},"≥",[597,1478,972],{},[789,1480,1019],{"stretchy":1007},[789,1482,1310],{},[601,1484,781],{},[789,1486,1487],{},"−",[597,1489,1004],{},[789,1491,1008],{"stretchy":1007},[597,1493,1011],{},[789,1495,1014],{},[597,1497,972],{},[789,1499,1487],{},[601,1501,781],{},[789,1503,1019],{"stretchy":1007},[789,1505,1014],{},[597,1507,1082],{},[605,1509,1510],{"encoding":607},"P(X \\geq k) = 1 - P(X \\leq k-1) \\leq \\alpha",[575,1512,1514,1538,1559,1580,1604,1623,1644],{"className":1513,"ariaHidden":613},[612],[575,1515,1517,1520,1523,1526,1529,1532,1535],{"className":1516},[617],[575,1518],{"className":1519,"style":1032},[621],[575,1521,1004],{"className":1522,"style":1036},[626,630],[575,1524,1008],{"className":1525},[1040],[575,1527,1011],{"className":1528,"style":1044},[626,630],[575,1530],{"className":1531,"style":904},[783],[575,1533,1476],{"className":1534},[893],[575,1536],{"className":1537,"style":904},[783],[575,1539,1541,1544,1547,1550,1553,1556],{"className":1540},[617],[575,1542],{"className":1543,"style":1032},[621],[575,1545,972],{"className":1546,"style":988},[626,630],[575,1548,1019],{"className":1549},[1066],[575,1551],{"className":1552,"style":904},[783],[575,1554,1310],{"className":1555},[893],[575,1557],{"className":1558,"style":904},[783],[575,1560,1562,1566,1569,1573,1577],{"className":1561},[617],[575,1563],{"className":1564,"style":1565},[621],"height:0.7278em;vertical-align:-0.0833em;",[575,1567,781],{"className":1568},[626],[575,1570],{"className":1571,"style":1572},[783],"margin-right:0.2222em;",[575,1574,1487],{"className":1575},[1576],"mbin",[575,1578],{"className":1579,"style":1572},[783],[575,1581,1583,1586,1589,1592,1595,1598,1601],{"className":1582},[617],[575,1584],{"className":1585,"style":1032},[621],[575,1587,1004],{"className":1588,"style":1036},[626,630],[575,1590,1008],{"className":1591},[1040],[575,1593,1011],{"className":1594,"style":1044},[626,630],[575,1596],{"className":1597,"style":904},[783],[575,1599,1014],{"className":1600},[893],[575,1602],{"className":1603,"style":904},[783],[575,1605,1607,1611,1614,1617,1620],{"className":1606},[617],[575,1608],{"className":1609,"style":1610},[621],"height:0.7778em;vertical-align:-0.0833em;",[575,1612,972],{"className":1613,"style":988},[626,630],[575,1615],{"className":1616,"style":1572},[783],[575,1618,1487],{"className":1619},[1576],[575,1621],{"className":1622,"style":1572},[783],[575,1624,1626,1629,1632,1635,1638,1641],{"className":1625},[617],[575,1627],{"className":1628,"style":1032},[621],[575,1630,781],{"className":1631},[626],[575,1633,1019],{"className":1634},[1066],[575,1636],{"className":1637,"style":904},[783],[575,1639,1014],{"className":1640},[893],[575,1642],{"className":1643,"style":904},[783],[575,1645,1647,1650],{"className":1646},[617],[575,1648],{"className":1649,"style":1095},[621],[575,1651,1082],{"className":1652,"style":1099},[626,630]," gilt.",[1105,1655,1656,1110,1659,1875,1876,1904,1905,2013],{},[570,1657,1658],{},"Zweiseitig",[575,1660,1662,1704],{"className":1661},[578],[575,1663,1665],{"className":1664},[582],[584,1666,1667],{"xmlns":586},[588,1668,1669,1701],{},[591,1670,1671,1677,1679,1681,1683,1685,1687,1689,1691,1695],{},[594,1672,1673,1675],{},[597,1674,599],{},[601,1676,781],{},[783,1678],{},[783,1680],{"width":787},[789,1682],{"lspace":791,"rspace":792},[794,1684,796],{},[789,1686,799],{"lspace":791,"rspace":791},[783,1688],{"width":802},[597,1690,566],{},[789,1692,1694],{"mathvariant":1693},"normal","≠",[594,1696,1697,1699],{},[597,1698,566],{},[601,1700,603],{},[605,1702,1703],{"encoding":607},"H_1\\colon p \\neq p_0",[575,1705,1707,1829],{"className":1706,"ariaHidden":613},[612],[575,1708,1710,1714,1754,1757,1760,1763,1766,1769,1775,1778,1781,1784,1826],{"className":1709},[617],[575,1711],{"className":1712,"style":1713},[621],"height:0.8889em;vertical-align:-0.1944em;",[575,1715,1717,1720],{"className":1716},[626],[575,1718,599],{"className":1719,"style":631},[626,630],[575,1721,1723],{"className":1722},[635],[575,1724,1726,1746],{"className":1725},[639,640],[575,1727,1729,1743],{"className":1728},[644],[575,1730,1732],{"className":1731,"style":649},[648],[575,1733,1734,1737],{"style":652},[575,1735],{"className":1736,"style":657},[656],[575,1738,1740],{"className":1739},[661,662,663,664],[575,1741,781],{"className":1742},[626,664],[575,1744,672],{"className":1745},[671],[575,1747,1749],{"className":1748},[644],[575,1750,1752],{"className":1751,"style":679},[648],[575,1753],{},[575,1755],{"className":1756},[783,870],[575,1758],{"className":1759,"style":874},[783],[575,1761],{"className":1762},[878],[575,1764],{"className":1765,"style":882},[783],[575,1767],{"className":1768,"style":886},[783],[575,1770,1772],{"className":1771},[626],[575,1773,799],{"className":1774},[893],[575,1776],{"className":1777,"style":897},[783],[575,1779,566],{"className":1780},[626,630],[575,1782],{"className":1783,"style":904},[783],[575,1785,1787,1820,1823],{"className":1786},[893],[575,1788,1790],{"className":1789},[893],[575,1791,1794],{"className":1792},[626,1793],"vbox",[575,1795,1798],{"className":1796},[1797],"thinbox",[575,1799,1802,1805,1816],{"className":1800},[1801],"rlap",[575,1803],{"className":1804,"style":1713},[621],[575,1806,1809],{"className":1807},[1808],"inner",[575,1810,1812],{"className":1811},[626],[575,1813,1815],{"className":1814},[893],"",[575,1817],{"className":1818},[1819],"fix",[575,1821],{"className":1822},[783,870],[575,1824,1310],{"className":1825},[893],[575,1827],{"className":1828,"style":904},[783],[575,1830,1832,1835],{"className":1831},[617],[575,1833],{"className":1834,"style":713},[621],[575,1836,1838,1841],{"className":1837},[626],[575,1839,566],{"className":1840},[626,630],[575,1842,1844],{"className":1843},[635],[575,1845,1847,1867],{"className":1846},[639,640],[575,1848,1850,1864],{"className":1849},[644],[575,1851,1853],{"className":1852,"style":649},[648],[575,1854,1855,1858],{"style":734},[575,1856],{"className":1857,"style":657},[656],[575,1859,1861],{"className":1860},[661,662,663,664],[575,1862,603],{"className":1863},[626,664],[575,1865,672],{"className":1866},[671],[575,1868,1870],{"className":1869},[644],[575,1871,1873],{"className":1872,"style":679},[648],[575,1874],{},"): Man teilt ",[575,1877,1879,1892],{"className":1878},[578],[575,1880,1882],{"className":1881},[582],[584,1883,1884],{"xmlns":586},[588,1885,1886,1890],{},[591,1887,1888],{},[597,1889,1082],{},[605,1891,1085],{"encoding":607},[575,1893,1895],{"className":1894,"ariaHidden":613},[612],[575,1896,1898,1901],{"className":1897},[617],[575,1899],{"className":1900,"style":1095},[621],[575,1902,1082],{"className":1903,"style":1099},[626,630]," auf beide Seiten auf und bestimmt links und rechts je einen Bereich mit höchstens ",[575,1906,1908,1928],{"className":1907},[578],[575,1909,1911],{"className":1910},[582],[584,1912,1913],{"xmlns":586},[588,1914,1915,1925],{},[591,1916,1917],{},[1918,1919,1920,1922],"mfrac",{},[597,1921,1082],{},[601,1923,1924],{},"2",[605,1926,1927],{"encoding":607},"\\frac{\\alpha}{2}",[575,1929,1931],{"className":1930,"ariaHidden":613},[612],[575,1932,1934,1938],{"className":1933},[617],[575,1935],{"className":1936,"style":1937},[621],"height:1.0404em;vertical-align:-0.345em;",[575,1939,1941,1945,2010],{"className":1940},[626],[575,1942],{"className":1943},[1040,1944],"nulldelimiter",[575,1946,1948],{"className":1947},[1918],[575,1949,1951,2001],{"className":1950},[639,640],[575,1952,1954,1998],{"className":1953},[644],[575,1955,1958,1973,1983],{"className":1956,"style":1957},[648],"height:0.6954em;",[575,1959,1961,1964],{"style":1960},"top:-2.655em;",[575,1962],{"className":1963,"style":1362},[656],[575,1965,1967],{"className":1966},[661,662,663,664],[575,1968,1970],{"className":1969},[626,664],[575,1971,1924],{"className":1972},[626,664],[575,1974,1976,1979],{"style":1975},"top:-3.23em;",[575,1977],{"className":1978,"style":1362},[656],[575,1980],{"className":1981,"style":1379},[1982],"frac-line",[575,1984,1986,1989],{"style":1985},"top:-3.394em;",[575,1987],{"className":1988,"style":1362},[656],[575,1990,1992],{"className":1991},[661,662,663,664],[575,1993,1995],{"className":1994},[626,664],[575,1996,1082],{"className":1997,"style":1099},[626,630,664],[575,1999,672],{"className":2000},[671],[575,2002,2004],{"className":2003},[644],[575,2005,2008],{"className":2006,"style":2007},[648],"height:0.345em;",[575,2009],{},[575,2011],{"className":2012},[1066,1944],".",[566,2015,2016,2017,2019,2020,2049,2050,2078],{},"Die übrigen Werte bilden den ",[570,2018,553],{}," ",[575,2021,2023,2036],{"className":2022},[578],[575,2024,2026],{"className":2025},[582],[584,2027,2028],{"xmlns":586},[588,2029,2030,2034],{},[591,2031,2032],{},[597,2033,1304],{},[605,2035,1304],{"encoding":607},[575,2037,2039],{"className":2038,"ariaHidden":613},[612],[575,2040,2042,2046],{"className":2041},[617],[575,2043],{"className":2044,"style":2045},[621],"height:0.6833em;",[575,2047,1304],{"className":2048},[626,630],". In der Praxis liest man die kumulierten Werte aus einer Tabelle ab oder probiert mit dem Taschenrechner benachbarte ",[575,2051,2053,2066],{"className":2052},[578],[575,2054,2056],{"className":2055},[582],[584,2057,2058],{"xmlns":586},[588,2059,2060,2064],{},[591,2061,2062],{},[597,2063,972],{},[605,2065,972],{"encoding":607},[575,2067,2069],{"className":2068,"ariaHidden":613},[612],[575,2070,2072,2075],{"className":2071},[617],[575,2073],{"className":2074,"style":984},[621],[575,2076,972],{"className":2077,"style":988},[626,630]," aus.",[561,2080,2082],{"id":2081},"beispiele","Beispiele",[566,2084,2085,2086,2129,2130,2276,2277,2419,2420,2473,2474,2013],{},"Eine Partei hatte bisher einen Stimmenanteil von ",[575,2087,2089,2110],{"className":2088},[578],[575,2090,2092],{"className":2091},[582],[584,2093,2094],{"xmlns":586},[588,2095,2096,2107],{},[591,2097,2098,2101,2104],{},[601,2099,2100],{},"40",[794,2102,2103],{}," ",[597,2105,2106],{"mathvariant":1693},"%",[605,2108,2109],{"encoding":607},"40\\,\\%",[575,2111,2113],{"className":2112,"ariaHidden":613},[612],[575,2114,2116,2120,2123,2126],{"className":2115},[617],[575,2117],{"className":2118,"style":2119},[621],"height:0.8056em;vertical-align:-0.0556em;",[575,2121,2100],{"className":2122},[626],[575,2124],{"className":2125,"style":886},[783],[575,2127,2106],{"className":2128},[626],". Es wird vermutet, dass er gesunken ist. Getestet wird ",[575,2131,2133,2170],{"className":2132},[578],[575,2134,2136],{"className":2135},[582],[584,2137,2138],{"xmlns":586},[588,2139,2140,2167],{},[591,2141,2142,2148,2150,2152,2154,2156,2158,2160,2162,2164],{},[594,2143,2144,2146],{},[597,2145,599],{},[601,2147,603],{},[783,2149],{},[783,2151],{"width":787},[789,2153],{"lspace":791,"rspace":792},[794,2155,796],{},[789,2157,799],{"lspace":791,"rspace":791},[783,2159],{"width":802},[597,2161,566],{},[789,2163,1476],{},[601,2165,2166],{},"0,4",[605,2168,2169],{"encoding":607},"H_0\\colon p \\geq 0{,}4",[575,2171,2173,2255],{"className":2172,"ariaHidden":613},[612],[575,2174,2176,2179,2219,2222,2225,2228,2231,2234,2240,2243,2246,2249,2252],{"className":2175},[617],[575,2177],{"className":2178,"style":826},[621],[575,2180,2182,2185],{"className":2181},[626],[575,2183,599],{"className":2184,"style":631},[626,630],[575,2186,2188],{"className":2187},[635],[575,2189,2191,2211],{"className":2190},[639,640],[575,2192,2194,2208],{"className":2193},[644],[575,2195,2197],{"className":2196,"style":649},[648],[575,2198,2199,2202],{"style":652},[575,2200],{"className":2201,"style":657},[656],[575,2203,2205],{"className":2204},[661,662,663,664],[575,2206,603],{"className":2207},[626,664],[575,2209,672],{"className":2210},[671],[575,2212,2214],{"className":2213},[644],[575,2215,2217],{"className":2216,"style":679},[648],[575,2218],{},[575,2220],{"className":2221},[783,870],[575,2223],{"className":2224,"style":874},[783],[575,2226],{"className":2227},[878],[575,2229],{"className":2230,"style":882},[783],[575,2232],{"className":2233,"style":886},[783],[575,2235,2237],{"className":2236},[626],[575,2238,799],{"className":2239},[893],[575,2241],{"className":2242,"style":897},[783],[575,2244,566],{"className":2245},[626,630],[575,2247],{"className":2248,"style":904},[783],[575,2250,1476],{"className":2251},[893],[575,2253],{"className":2254,"style":904},[783],[575,2256,2258,2262,2265,2272],{"className":2257},[617],[575,2259],{"className":2260,"style":2261},[621],"height:0.8389em;vertical-align:-0.1944em;",[575,2263,603],{"className":2264},[626],[575,2266,2268],{"className":2267},[626],[575,2269,2271],{"className":2270},[878],",",[575,2273,2275],{"className":2274},[626],"4"," gegen ",[575,2278,2280,2316],{"className":2279},[578],[575,2281,2283],{"className":2282},[582],[584,2284,2285],{"xmlns":586},[588,2286,2287,2313],{},[591,2288,2289,2295,2297,2299,2301,2303,2305,2307,2309,2311],{},[594,2290,2291,2293],{},[597,2292,599],{},[601,2294,781],{},[783,2296],{},[783,2298],{"width":787},[789,2300],{"lspace":791,"rspace":792},[794,2302,796],{},[789,2304,799],{"lspace":791,"rspace":791},[783,2306],{"width":802},[597,2308,566],{},[789,2310,807],{},[601,2312,2166],{},[605,2314,2315],{"encoding":607},"H_1\\colon p \u003C 0{,}4",[575,2317,2319,2401],{"className":2318,"ariaHidden":613},[612],[575,2320,2322,2325,2365,2368,2371,2374,2377,2380,2386,2389,2392,2395,2398],{"className":2321},[617],[575,2323],{"className":2324,"style":826},[621],[575,2326,2328,2331],{"className":2327},[626],[575,2329,599],{"className":2330,"style":631},[626,630],[575,2332,2334],{"className":2333},[635],[575,2335,2337,2357],{"className":2336},[639,640],[575,2338,2340,2354],{"className":2339},[644],[575,2341,2343],{"className":2342,"style":649},[648],[575,2344,2345,2348],{"style":652},[575,2346],{"className":2347,"style":657},[656],[575,2349,2351],{"className":2350},[661,662,663,664],[575,2352,781],{"className":2353},[626,664],[575,2355,672],{"className":2356},[671],[575,2358,2360],{"className":2359},[644],[575,2361,2363],{"className":2362,"style":679},[648],[575,2364],{},[575,2366],{"className":2367},[783,870],[575,2369],{"className":2370,"style":874},[783],[575,2372],{"className":2373},[878],[575,2375],{"className":2376,"style":882},[783],[575,2378],{"className":2379,"style":886},[783],[575,2381,2383],{"className":2382},[626],[575,2384,799],{"className":2385},[893],[575,2387],{"className":2388,"style":897},[783],[575,2390,566],{"className":2391},[626,630],[575,2393],{"className":2394,"style":904},[783],[575,2396,807],{"className":2397},[893],[575,2399],{"className":2400,"style":904},[783],[575,2402,2404,2407,2410,2416],{"className":2403},[617],[575,2405],{"className":2406,"style":2261},[621],[575,2408,603],{"className":2409},[626],[575,2411,2413],{"className":2412},[626],[575,2414,2271],{"className":2415},[878],[575,2417,2275],{"className":2418},[626]," mit ",[575,2421,2423,2442],{"className":2422},[578],[575,2424,2426],{"className":2425},[582],[584,2427,2428],{"xmlns":586},[588,2429,2430,2439],{},[591,2431,2432,2434,2436],{},[597,2433,1326],{},[789,2435,1310],{},[601,2437,2438],{},"100",[605,2440,2441],{"encoding":607},"n = 100",[575,2443,2445,2463],{"className":2444,"ariaHidden":613},[612],[575,2446,2448,2451,2454,2457,2460],{"className":2447},[617],[575,2449],{"className":2450,"style":1095},[621],[575,2452,1326],{"className":2453},[626,630],[575,2455],{"className":2456,"style":904},[783],[575,2458,1310],{"className":2459},[893],[575,2461],{"className":2462,"style":904},[783],[575,2464,2466,2470],{"className":2465},[617],[575,2467],{"className":2468,"style":2469},[621],"height:0.6444em;",[575,2471,2438],{"className":2472},[626]," Befragten auf dem Niveau ",[575,2475,2477,2500],{"className":2476},[578],[575,2478,2480],{"className":2479},[582],[584,2481,2482],{"xmlns":586},[588,2483,2484,2497],{},[591,2485,2486,2488,2490,2493,2495],{},[597,2487,1082],{},[789,2489,1310],{},[601,2491,2492],{},"5",[794,2494,2103],{},[597,2496,2106],{"mathvariant":1693},[605,2498,2499],{"encoding":607},"\\alpha = 5\\,\\%",[575,2501,2503,2521],{"className":2502,"ariaHidden":613},[612],[575,2504,2506,2509,2512,2515,2518],{"className":2505},[617],[575,2507],{"className":2508,"style":1095},[621],[575,2510,1082],{"className":2511,"style":1099},[626,630],[575,2513],{"className":2514,"style":904},[783],[575,2516,1310],{"className":2517},[893],[575,2519],{"className":2520,"style":904},[783],[575,2522,2524,2527,2530,2533],{"className":2523},[617],[575,2525],{"className":2526,"style":2119},[621],[575,2528,2492],{"className":2529},[626],[575,2531],{"className":2532,"style":886},[783],[575,2534,2106],{"className":2535},[626],[575,2537,2540],{"className":2538},[2539],"katex-display",[575,2541,2543,2607],{"className":2542},[578],[575,2544,2546],{"className":2545},[582],[584,2547,2549],{"xmlns":586,"display":2548},"block",[588,2550,2551,2604],{},[591,2552,2553,2555,2557,2559,2561,2564,2566,2569,2572,2574,2577,2579,2582,2584,2586,2588,2590,2593,2595,2597,2600,2602],{},[597,2554,1004],{},[789,2556,1008],{"stretchy":1007},[597,2558,1011],{},[789,2560,1014],{},[601,2562,2563],{},"31",[789,2565,1019],{"stretchy":1007},[789,2567,2568],{},"≈",[601,2570,2571],{},"0,0398",[789,2573,1014],{},[601,2575,2576],{},"0,05",[789,2578,2271],{"separator":613},[783,2580],{"width":2581},"2em",[597,2583,1004],{},[789,2585,1008],{"stretchy":1007},[597,2587,1011],{},[789,2589,1014],{},[601,2591,2592],{},"32",[789,2594,1019],{"stretchy":1007},[789,2596,2568],{},[601,2598,2599],{},"0,0615",[789,2601,1145],{},[601,2603,2576],{},[605,2605,2606],{"encoding":607},"P(X \\leq 31) \\approx 0{,}0398 \\leq 0{,}05, \\qquad P(X \\leq 32) \\approx 0{,}0615 > 0{,}05",[575,2608,2610,2634,2655,2683,2730,2751,2779],{"className":2609,"ariaHidden":613},[612],[575,2611,2613,2616,2619,2622,2625,2628,2631],{"className":2612},[617],[575,2614],{"className":2615,"style":1032},[621],[575,2617,1004],{"className":2618,"style":1036},[626,630],[575,2620,1008],{"className":2621},[1040],[575,2623,1011],{"className":2624,"style":1044},[626,630],[575,2626],{"className":2627,"style":904},[783],[575,2629,1014],{"className":2630},[893],[575,2632],{"className":2633,"style":904},[783],[575,2635,2637,2640,2643,2646,2649,2652],{"className":2636},[617],[575,2638],{"className":2639,"style":1032},[621],[575,2641,2563],{"className":2642},[626],[575,2644,1019],{"className":2645},[1066],[575,2647],{"className":2648,"style":904},[783],[575,2650,2568],{"className":2651},[893],[575,2653],{"className":2654,"style":904},[783],[575,2656,2658,2661,2664,2670,2674,2677,2680],{"className":2657},[617],[575,2659],{"className":2660,"style":2261},[621],[575,2662,603],{"className":2663},[626],[575,2665,2667],{"className":2666},[626],[575,2668,2271],{"className":2669},[878],[575,2671,2673],{"className":2672},[626],"0398",[575,2675],{"className":2676,"style":904},[783],[575,2678,1014],{"className":2679},[893],[575,2681],{"className":2682,"style":904},[783],[575,2684,2686,2689,2692,2698,2702,2705,2709,2712,2715,2718,2721,2724,2727],{"className":2685},[617],[575,2687],{"className":2688,"style":1032},[621],[575,2690,603],{"className":2691},[626],[575,2693,2695],{"className":2694},[626],[575,2696,2271],{"className":2697},[878],[575,2699,2701],{"className":2700},[626],"05",[575,2703,2271],{"className":2704},[878],[575,2706],{"className":2707,"style":2708},[783],"margin-right:2em;",[575,2710],{"className":2711,"style":886},[783],[575,2713,1004],{"className":2714,"style":1036},[626,630],[575,2716,1008],{"className":2717},[1040],[575,2719,1011],{"className":2720,"style":1044},[626,630],[575,2722],{"className":2723,"style":904},[783],[575,2725,1014],{"className":2726},[893],[575,2728],{"className":2729,"style":904},[783],[575,2731,2733,2736,2739,2742,2745,2748],{"className":2732},[617],[575,2734],{"className":2735,"style":1032},[621],[575,2737,2592],{"className":2738},[626],[575,2740,1019],{"className":2741},[1066],[575,2743],{"className":2744,"style":904},[783],[575,2746,2568],{"className":2747},[893],[575,2749],{"className":2750,"style":904},[783],[575,2752,2754,2757,2760,2766,2770,2773,2776],{"className":2753},[617],[575,2755],{"className":2756,"style":2261},[621],[575,2758,603],{"className":2759},[626],[575,2761,2763],{"className":2762},[626],[575,2764,2271],{"className":2765},[878],[575,2767,2769],{"className":2768},[626],"0615",[575,2771],{"className":2772,"style":904},[783],[575,2774,1145],{"className":2775},[893],[575,2777],{"className":2778,"style":904},[783],[575,2780,2782,2785,2788,2794],{"className":2781},[617],[575,2783],{"className":2784,"style":2261},[621],[575,2786,603],{"className":2787},[626],[575,2789,2791],{"className":2790},[626],[575,2792,2271],{"className":2793},[878],[575,2795,2701],{"className":2796},[626],[566,2798,2799,2800,2922,2923,2951,2952,3021],{},"Also ist ",[575,2801,2803,2837],{"className":2802},[578],[575,2804,2806],{"className":2805},[582],[584,2807,2808],{"xmlns":586},[588,2809,2810,2834],{},[591,2811,2812,2818,2820,2822,2824,2826,2828,2830,2832],{},[1300,2813,2814,2816],{"accent":613},[597,2815,1304],{},[789,2817,1307],{"stretchy":613},[789,2819,1310],{},[789,2821,1313],{"stretchy":1007},[601,2823,603],{},[789,2825,1318],{"separator":613},[789,2827,1321],{},[789,2829,1318],{"separator":613},[601,2831,2563],{},[789,2833,1329],{"stretchy":1007},[605,2835,2836],{"encoding":607},"\\overline{A} = \\{0; \\ldots; 31\\}",[575,2838,2840,2886],{"className":2839,"ariaHidden":613},[612],[575,2841,2843,2846,2877,2880,2883],{"className":2842},[617],[575,2844],{"className":2845,"style":1342},[621],[575,2847,2849],{"className":2848},[626,1346],[575,2850,2852],{"className":2851},[639],[575,2853,2855],{"className":2854},[644],[575,2856,2858,2869],{"className":2857,"style":1342},[648],[575,2859,2860,2863],{"style":1358},[575,2861],{"className":2862,"style":1362},[656],[575,2864,2866],{"className":2865},[626],[575,2867,1304],{"className":2868},[626,630],[575,2870,2871,2874],{"style":1371},[575,2872],{"className":2873,"style":1362},[656],[575,2875],{"className":2876,"style":1379},[1378],[575,2878],{"className":2879,"style":904},[783],[575,2881,1310],{"className":2882},[893],[575,2884],{"className":2885,"style":904},[783],[575,2887,2889,2892,2895,2898,2901,2904,2907,2910,2913,2916,2919],{"className":2888},[617],[575,2890],{"className":2891,"style":1032},[621],[575,2893,1313],{"className":2894},[1040],[575,2896,603],{"className":2897},[626],[575,2899,1318],{"className":2900},[878],[575,2902],{"className":2903,"style":886},[783],[575,2905,1321],{"className":2906},[1410],[575,2908],{"className":2909,"style":886},[783],[575,2911,1318],{"className":2912},[878],[575,2914],{"className":2915,"style":886},[783],[575,2917,2563],{"className":2918},[626],[575,2920,1329],{"className":2921},[1066],". Sprechen sich höchstens ",[575,2924,2926,2939],{"className":2925},[578],[575,2927,2929],{"className":2928},[582],[584,2930,2931],{"xmlns":586},[588,2932,2933,2937],{},[591,2934,2935],{},[601,2936,2563],{},[605,2938,2563],{"encoding":607},[575,2940,2942],{"className":2941,"ariaHidden":613},[612],[575,2943,2945,2948],{"className":2944},[617],[575,2946],{"className":2947,"style":2469},[621],[575,2949,2563],{"className":2950},[626]," Befragte für die Partei aus, wird ",[575,2953,2955,2972],{"className":2954},[578],[575,2956,2958],{"className":2957},[582],[584,2959,2960],{"xmlns":586},[588,2961,2962,2970],{},[591,2963,2964],{},[594,2965,2966,2968],{},[597,2967,599],{},[601,2969,603],{},[605,2971,608],{"encoding":607},[575,2973,2975],{"className":2974,"ariaHidden":613},[612],[575,2976,2978,2981],{"className":2977},[617],[575,2979],{"className":2980,"style":622},[621],[575,2982,2984,2987],{"className":2983},[626],[575,2985,599],{"className":2986,"style":631},[626,630],[575,2988,2990],{"className":2989},[635],[575,2991,2993,3013],{"className":2992},[639,640],[575,2994,2996,3010],{"className":2995},[644],[575,2997,2999],{"className":2998,"style":649},[648],[575,3000,3001,3004],{"style":652},[575,3002],{"className":3003,"style":657},[656],[575,3005,3007],{"className":3006},[661,662,663,664],[575,3008,603],{"className":3009},[626,664],[575,3011,672],{"className":3012},[671],[575,3014,3016],{"className":3015},[644],[575,3017,3019],{"className":3018,"style":679},[648],[575,3020],{}," verworfen.",[566,3023,3024,3025,3168,3169,3168,3219,3279,3280,2013],{},"Zweiseitiger Test, ob eine Münze fair ist: ",[575,3026,3028,3065],{"className":3027},[578],[575,3029,3031],{"className":3030},[582],[584,3032,3033],{"xmlns":586},[588,3034,3035,3062],{},[591,3036,3037,3043,3045,3047,3049,3051,3053,3055,3057,3059],{},[594,3038,3039,3041],{},[597,3040,599],{},[601,3042,603],{},[783,3044],{},[783,3046],{"width":787},[789,3048],{"lspace":791,"rspace":792},[794,3050,796],{},[789,3052,799],{"lspace":791,"rspace":791},[783,3054],{"width":802},[597,3056,566],{},[789,3058,1310],{},[601,3060,3061],{},"0,5",[605,3063,3064],{"encoding":607},"H_0\\colon p = 0{,}5",[575,3066,3068,3150],{"className":3067,"ariaHidden":613},[612],[575,3069,3071,3074,3114,3117,3120,3123,3126,3129,3135,3138,3141,3144,3147],{"className":3070},[617],[575,3072],{"className":3073,"style":826},[621],[575,3075,3077,3080],{"className":3076},[626],[575,3078,599],{"className":3079,"style":631},[626,630],[575,3081,3083],{"className":3082},[635],[575,3084,3086,3106],{"className":3085},[639,640],[575,3087,3089,3103],{"className":3088},[644],[575,3090,3092],{"className":3091,"style":649},[648],[575,3093,3094,3097],{"style":652},[575,3095],{"className":3096,"style":657},[656],[575,3098,3100],{"className":3099},[661,662,663,664],[575,3101,603],{"className":3102},[626,664],[575,3104,672],{"className":3105},[671],[575,3107,3109],{"className":3108},[644],[575,3110,3112],{"className":3111,"style":679},[648],[575,3113],{},[575,3115],{"className":3116},[783,870],[575,3118],{"className":3119,"style":874},[783],[575,3121],{"className":3122},[878],[575,3124],{"className":3125,"style":882},[783],[575,3127],{"className":3128,"style":886},[783],[575,3130,3132],{"className":3131},[626],[575,3133,799],{"className":3134},[893],[575,3136],{"className":3137,"style":897},[783],[575,3139,566],{"className":3140},[626,630],[575,3142],{"className":3143,"style":904},[783],[575,3145,1310],{"className":3146},[893],[575,3148],{"className":3149,"style":904},[783],[575,3151,3153,3156,3159,3165],{"className":3152},[617],[575,3154],{"className":3155,"style":2261},[621],[575,3157,603],{"className":3158},[626],[575,3160,3162],{"className":3161},[626],[575,3163,2271],{"className":3164},[878],[575,3166,2492],{"className":3167},[626],", ",[575,3170,3172,3189],{"className":3171},[578],[575,3173,3175],{"className":3174},[582],[584,3176,3177],{"xmlns":586},[588,3178,3179,3187],{},[591,3180,3181,3183,3185],{},[597,3182,1326],{},[789,3184,1310],{},[601,3186,2438],{},[605,3188,2441],{"encoding":607},[575,3190,3192,3210],{"className":3191,"ariaHidden":613},[612],[575,3193,3195,3198,3201,3204,3207],{"className":3194},[617],[575,3196],{"className":3197,"style":1095},[621],[575,3199,1326],{"className":3200},[626,630],[575,3202],{"className":3203,"style":904},[783],[575,3205,1310],{"className":3206},[893],[575,3208],{"className":3209,"style":904},[783],[575,3211,3213,3216],{"className":3212},[617],[575,3214],{"className":3215,"style":2469},[621],[575,3217,2438],{"className":3218},[626],[575,3220,3222,3243],{"className":3221},[578],[575,3223,3225],{"className":3224},[582],[584,3226,3227],{"xmlns":586},[588,3228,3229,3241],{},[591,3230,3231,3233,3235,3237,3239],{},[597,3232,1082],{},[789,3234,1310],{},[601,3236,2492],{},[794,3238,2103],{},[597,3240,2106],{"mathvariant":1693},[605,3242,2499],{"encoding":607},[575,3244,3246,3264],{"className":3245,"ariaHidden":613},[612],[575,3247,3249,3252,3255,3258,3261],{"className":3248},[617],[575,3250],{"className":3251,"style":1095},[621],[575,3253,1082],{"className":3254,"style":1099},[626,630],[575,3256],{"className":3257,"style":904},[783],[575,3259,1310],{"className":3260},[893],[575,3262],{"className":3263,"style":904},[783],[575,3265,3267,3270,3273,3276],{"className":3266},[617],[575,3268],{"className":3269,"style":2119},[621],[575,3271,2492],{"className":3272},[626],[575,3274],{"className":3275,"style":886},[783],[575,3277,2106],{"className":3278},[626],". Auf jede Seite entfallen höchstens ",[575,3281,3283,3306],{"className":3282},[578],[575,3284,3286],{"className":3285},[582],[584,3287,3288],{"xmlns":586},[588,3289,3290,3303],{},[591,3291,3292,3298,3300],{},[1918,3293,3294,3296],{},[601,3295,2576],{},[601,3297,1924],{},[789,3299,1310],{},[601,3301,3302],{},"0,025",[605,3304,3305],{"encoding":607},"\\frac{0{,}05}{2} = 0{,}025",[575,3307,3309,3404],{"className":3308,"ariaHidden":613},[612],[575,3310,3312,3316,3395,3398,3401],{"className":3311},[617],[575,3313],{"className":3314,"style":3315},[621],"height:1.2422em;vertical-align:-0.345em;",[575,3317,3319,3322,3392],{"className":3318},[626],[575,3320],{"className":3321},[1040,1944],[575,3323,3325],{"className":3324},[1918],[575,3326,3328,3384],{"className":3327},[639,640],[575,3329,3331,3381],{"className":3330},[644],[575,3332,3335,3349,3357],{"className":3333,"style":3334},[648],"height:0.8972em;",[575,3336,3337,3340],{"style":1960},[575,3338],{"className":3339,"style":1362},[656],[575,3341,3343],{"className":3342},[661,662,663,664],[575,3344,3346],{"className":3345},[626,664],[575,3347,1924],{"className":3348},[626,664],[575,3350,3351,3354],{"style":1975},[575,3352],{"className":3353,"style":1362},[656],[575,3355],{"className":3356,"style":1379},[1982],[575,3358,3360,3363],{"style":3359},"top:-3.4461em;",[575,3361],{"className":3362,"style":1362},[656],[575,3364,3366],{"className":3365},[661,662,663,664],[575,3367,3369,3372,3378],{"className":3368},[626,664],[575,3370,603],{"className":3371},[626,664],[575,3373,3375],{"className":3374},[626,664],[575,3376,2271],{"className":3377},[878,664],[575,3379,2701],{"className":3380},[626,664],[575,3382,672],{"className":3383},[671],[575,3385,3387],{"className":3386},[644],[575,3388,3390],{"className":3389,"style":2007},[648],[575,3391],{},[575,3393],{"className":3394},[1066,1944],[575,3396],{"className":3397,"style":904},[783],[575,3399,1310],{"className":3400},[893],[575,3402],{"className":3403,"style":904},[783],[575,3405,3407,3410,3413,3419],{"className":3406},[617],[575,3408],{"className":3409,"style":2261},[621],[575,3411,603],{"className":3412},[626],[575,3414,3416],{"className":3415},[626],[575,3417,2271],{"className":3418},[878],[575,3420,3422],{"className":3421},[626],"025",[575,3424,3426],{"className":3425},[2539],[575,3427,3429,3488],{"className":3428},[578],[575,3430,3432],{"className":3431},[582],[584,3433,3434],{"xmlns":586,"display":2548},[588,3435,3436,3485],{},[591,3437,3438,3440,3442,3444,3446,3449,3451,3453,3456,3458,3460,3462,3464,3466,3468,3470,3472,3474,3476,3478,3481,3483],{},[597,3439,1004],{},[789,3441,1008],{"stretchy":1007},[597,3443,1011],{},[789,3445,1014],{},[601,3447,3448],{},"39",[789,3450,1019],{"stretchy":1007},[789,3452,2568],{},[601,3454,3455],{},"0,0176",[789,3457,1014],{},[601,3459,3302],{},[789,3461,2271],{"separator":613},[783,3463],{"width":2581},[597,3465,1004],{},[789,3467,1008],{"stretchy":1007},[597,3469,1011],{},[789,3471,1014],{},[601,3473,2100],{},[789,3475,1019],{"stretchy":1007},[789,3477,2568],{},[601,3479,3480],{},"0,0284",[789,3482,1145],{},[601,3484,3302],{},[605,3486,3487],{"encoding":607},"P(X \\leq 39) \\approx 0{,}0176 \\leq 0{,}025, \\qquad P(X \\leq 40) \\approx 0{,}0284 > 0{,}025",[575,3489,3491,3515,3536,3564,3609,3630,3658],{"className":3490,"ariaHidden":613},[612],[575,3492,3494,3497,3500,3503,3506,3509,3512],{"className":3493},[617],[575,3495],{"className":3496,"style":1032},[621],[575,3498,1004],{"className":3499,"style":1036},[626,630],[575,3501,1008],{"className":3502},[1040],[575,3504,1011],{"className":3505,"style":1044},[626,630],[575,3507],{"className":3508,"style":904},[783],[575,3510,1014],{"className":3511},[893],[575,3513],{"className":3514,"style":904},[783],[575,3516,3518,3521,3524,3527,3530,3533],{"className":3517},[617],[575,3519],{"className":3520,"style":1032},[621],[575,3522,3448],{"className":3523},[626],[575,3525,1019],{"className":3526},[1066],[575,3528],{"className":3529,"style":904},[783],[575,3531,2568],{"className":3532},[893],[575,3534],{"className":3535,"style":904},[783],[575,3537,3539,3542,3545,3551,3555,3558,3561],{"className":3538},[617],[575,3540],{"className":3541,"style":2261},[621],[575,3543,603],{"className":3544},[626],[575,3546,3548],{"className":3547},[626],[575,3549,2271],{"className":3550},[878],[575,3552,3554],{"className":3553},[626],"0176",[575,3556],{"className":3557,"style":904},[783],[575,3559,1014],{"className":3560},[893],[575,3562],{"className":3563,"style":904},[783],[575,3565,3567,3570,3573,3579,3582,3585,3588,3591,3594,3597,3600,3603,3606],{"className":3566},[617],[575,3568],{"className":3569,"style":1032},[621],[575,3571,603],{"className":3572},[626],[575,3574,3576],{"className":3575},[626],[575,3577,2271],{"className":3578},[878],[575,3580,3422],{"className":3581},[626],[575,3583,2271],{"className":3584},[878],[575,3586],{"className":3587,"style":2708},[783],[575,3589],{"className":3590,"style":886},[783],[575,3592,1004],{"className":3593,"style":1036},[626,630],[575,3595,1008],{"className":3596},[1040],[575,3598,1011],{"className":3599,"style":1044},[626,630],[575,3601],{"className":3602,"style":904},[783],[575,3604,1014],{"className":3605},[893],[575,3607],{"className":3608,"style":904},[783],[575,3610,3612,3615,3618,3621,3624,3627],{"className":3611},[617],[575,3613],{"className":3614,"style":1032},[621],[575,3616,2100],{"className":3617},[626],[575,3619,1019],{"className":3620},[1066],[575,3622],{"className":3623,"style":904},[783],[575,3625,2568],{"className":3626},[893],[575,3628],{"className":3629,"style":904},[783],[575,3631,3633,3636,3639,3645,3649,3652,3655],{"className":3632},[617],[575,3634],{"className":3635,"style":2261},[621],[575,3637,603],{"className":3638},[626],[575,3640,3642],{"className":3641},[626],[575,3643,2271],{"className":3644},[878],[575,3646,3648],{"className":3647},[626],"0284",[575,3650],{"className":3651,"style":904},[783],[575,3653,1145],{"className":3654},[893],[575,3656],{"className":3657,"style":904},[783],[575,3659,3661,3664,3667,3673],{"className":3660},[617],[575,3662],{"className":3663,"style":2261},[621],[575,3665,603],{"className":3666},[626],[575,3668,3670],{"className":3669},[626],[575,3671,2271],{"className":3672},[878],[575,3674,3422],{"className":3675},[626],[566,3677,3678,3679,3739,3740,3809,3810,3883,3884,4068,4069,2013],{},"Wegen der Symmetrie bei ",[575,3680,3682,3700],{"className":3681},[578],[575,3683,3685],{"className":3684},[582],[584,3686,3687],{"xmlns":586},[588,3688,3689,3697],{},[591,3690,3691,3693,3695],{},[597,3692,566],{},[789,3694,1310],{},[601,3696,3061],{},[605,3698,3699],{"encoding":607},"p = 0{,}5",[575,3701,3703,3721],{"className":3702,"ariaHidden":613},[612],[575,3704,3706,3709,3712,3715,3718],{"className":3705},[617],[575,3707],{"className":3708,"style":713},[621],[575,3710,566],{"className":3711},[626,630],[575,3713],{"className":3714,"style":904},[783],[575,3716,1310],{"className":3717},[893],[575,3719],{"className":3720,"style":904},[783],[575,3722,3724,3727,3730,3736],{"className":3723},[617],[575,3725],{"className":3726,"style":2261},[621],[575,3728,603],{"className":3729},[626],[575,3731,3733],{"className":3732},[626],[575,3734,2271],{"className":3735},[878],[575,3737,2492],{"className":3738},[626]," ist der rechte Teil ",[575,3741,3743,3770],{"className":3742},[578],[575,3744,3746],{"className":3745},[582],[584,3747,3748],{"xmlns":586},[588,3749,3750,3767],{},[591,3751,3752,3754,3757,3759,3761,3763,3765],{},[789,3753,1313],{"stretchy":1007},[601,3755,3756],{},"61",[789,3758,1318],{"separator":613},[789,3760,1321],{},[789,3762,1318],{"separator":613},[601,3764,2438],{},[789,3766,1329],{"stretchy":1007},[605,3768,3769],{"encoding":607},"\\{61; \\ldots; 100\\}",[575,3771,3773],{"className":3772,"ariaHidden":613},[612],[575,3774,3776,3779,3782,3785,3788,3791,3794,3797,3800,3803,3806],{"className":3775},[617],[575,3777],{"className":3778,"style":1032},[621],[575,3780,1313],{"className":3781},[1040],[575,3783,3756],{"className":3784},[626],[575,3786,1318],{"className":3787},[878],[575,3789],{"className":3790,"style":886},[783],[575,3792,1321],{"className":3793},[1410],[575,3795],{"className":3796,"style":886},[783],[575,3798,1318],{"className":3799},[878],[575,3801],{"className":3802,"style":886},[783],[575,3804,2438],{"className":3805},[626],[575,3807,1329],{"className":3808},[1066],", denn ",[575,3811,3813,3835],{"className":3812},[578],[575,3814,3816],{"className":3815},[582],[584,3817,3818],{"xmlns":586},[588,3819,3820,3832],{},[591,3821,3822,3824,3826,3828,3830],{},[601,3823,2438],{},[789,3825,1487],{},[601,3827,3448],{},[789,3829,1310],{},[601,3831,3756],{},[605,3833,3834],{"encoding":607},"100 - 39 = 61",[575,3836,3838,3856,3874],{"className":3837,"ariaHidden":613},[612],[575,3839,3841,3844,3847,3850,3853],{"className":3840},[617],[575,3842],{"className":3843,"style":1565},[621],[575,3845,2438],{"className":3846},[626],[575,3848],{"className":3849,"style":1572},[783],[575,3851,1487],{"className":3852},[1576],[575,3854],{"className":3855,"style":1572},[783],[575,3857,3859,3862,3865,3868,3871],{"className":3858},[617],[575,3860],{"className":3861,"style":2469},[621],[575,3863,3448],{"className":3864},[626],[575,3866],{"className":3867,"style":904},[783],[575,3869,1310],{"className":3870},[893],[575,3872],{"className":3873,"style":904},[783],[575,3875,3877,3880],{"className":3876},[617],[575,3878],{"className":3879,"style":2469},[621],[575,3881,3756],{"className":3882},[626],". Ablehnungsbereich: ",[575,3885,3887,3938],{"className":3886},[578],[575,3888,3890],{"className":3889},[582],[584,3891,3892],{"xmlns":586},[588,3893,3894,3935],{},[591,3895,3896,3902,3904,3906,3908,3910,3912,3914,3916,3918,3921,3923,3925,3927,3929,3931,3933],{},[1300,3897,3898,3900],{"accent":613},[597,3899,1304],{},[789,3901,1307],{"stretchy":613},[789,3903,1310],{},[789,3905,1313],{"stretchy":1007},[601,3907,603],{},[789,3909,1318],{"separator":613},[789,3911,1321],{},[789,3913,1318],{"separator":613},[601,3915,3448],{},[789,3917,1329],{"stretchy":1007},[789,3919,3920],{},"∪",[789,3922,1313],{"stretchy":1007},[601,3924,3756],{},[789,3926,1318],{"separator":613},[789,3928,1321],{},[789,3930,1318],{"separator":613},[601,3932,2438],{},[789,3934,1329],{"stretchy":1007},[605,3936,3937],{"encoding":607},"\\overline{A} = \\{0; \\ldots; 39\\} \\cup \\{61; \\ldots; 100\\}",[575,3939,3941,3987,4032],{"className":3940,"ariaHidden":613},[612],[575,3942,3944,3947,3978,3981,3984],{"className":3943},[617],[575,3945],{"className":3946,"style":1342},[621],[575,3948,3950],{"className":3949},[626,1346],[575,3951,3953],{"className":3952},[639],[575,3954,3956],{"className":3955},[644],[575,3957,3959,3970],{"className":3958,"style":1342},[648],[575,3960,3961,3964],{"style":1358},[575,3962],{"className":3963,"style":1362},[656],[575,3965,3967],{"className":3966},[626],[575,3968,1304],{"className":3969},[626,630],[575,3971,3972,3975],{"style":1371},[575,3973],{"className":3974,"style":1362},[656],[575,3976],{"className":3977,"style":1379},[1378],[575,3979],{"className":3980,"style":904},[783],[575,3982,1310],{"className":3983},[893],[575,3985],{"className":3986,"style":904},[783],[575,3988,3990,3993,3996,3999,4002,4005,4008,4011,4014,4017,4020,4023,4026,4029],{"className":3989},[617],[575,3991],{"className":3992,"style":1032},[621],[575,3994,1313],{"className":3995},[1040],[575,3997,603],{"className":3998},[626],[575,4000,1318],{"className":4001},[878],[575,4003],{"className":4004,"style":886},[783],[575,4006,1321],{"className":4007},[1410],[575,4009],{"className":4010,"style":886},[783],[575,4012,1318],{"className":4013},[878],[575,4015],{"className":4016,"style":886},[783],[575,4018,3448],{"className":4019},[626],[575,4021,1329],{"className":4022},[1066],[575,4024],{"className":4025,"style":1572},[783],[575,4027,3920],{"className":4028},[1576],[575,4030],{"className":4031,"style":1572},[783],[575,4033,4035,4038,4041,4044,4047,4050,4053,4056,4059,4062,4065],{"className":4034},[617],[575,4036],{"className":4037,"style":1032},[621],[575,4039,1313],{"className":4040},[1040],[575,4042,3756],{"className":4043},[626],[575,4045,1318],{"className":4046},[878],[575,4048],{"className":4049,"style":886},[783],[575,4051,1321],{"className":4052},[1410],[575,4054],{"className":4055,"style":886},[783],[575,4057,1318],{"className":4058},[878],[575,4060],{"className":4061,"style":886},[783],[575,4063,2438],{"className":4064},[626],[575,4066,1329],{"className":4067},[1066],". Die tatsächliche Irrtumswahrscheinlichkeit ist ",[575,4070,4072,4106],{"className":4071},[578],[575,4073,4075],{"className":4074},[582],[584,4076,4077],{"xmlns":586},[588,4078,4079,4103],{},[591,4080,4081,4083,4086,4088,4090,4092,4094,4096,4098,4100],{},[601,4082,1924],{},[789,4084,4085],{},"⋅",[597,4087,1004],{},[789,4089,1008],{"stretchy":1007},[597,4091,1011],{},[789,4093,1014],{},[601,4095,3448],{},[789,4097,1019],{"stretchy":1007},[789,4099,2568],{},[601,4101,4102],{},"0,0352",[605,4104,4105],{"encoding":607},"2 \\cdot P(X \\leq 39) \\approx 0{,}0352",[575,4107,4109,4127,4151,4172],{"className":4108,"ariaHidden":613},[612],[575,4110,4112,4115,4118,4121,4124],{"className":4111},[617],[575,4113],{"className":4114,"style":2469},[621],[575,4116,1924],{"className":4117},[626],[575,4119],{"className":4120,"style":1572},[783],[575,4122,4085],{"className":4123},[1576],[575,4125],{"className":4126,"style":1572},[783],[575,4128,4130,4133,4136,4139,4142,4145,4148],{"className":4129},[617],[575,4131],{"className":4132,"style":1032},[621],[575,4134,1004],{"className":4135,"style":1036},[626,630],[575,4137,1008],{"className":4138},[1040],[575,4140,1011],{"className":4141,"style":1044},[626,630],[575,4143],{"className":4144,"style":904},[783],[575,4146,1014],{"className":4147},[893],[575,4149],{"className":4150,"style":904},[783],[575,4152,4154,4157,4160,4163,4166,4169],{"className":4153},[617],[575,4155],{"className":4156,"style":1032},[621],[575,4158,3448],{"className":4159},[626],[575,4161,1019],{"className":4162},[1066],[575,4164],{"className":4165,"style":904},[783],[575,4167,2568],{"className":4168},[893],[575,4170],{"className":4171,"style":904},[783],[575,4173,4175,4178,4181,4187],{"className":4174},[617],[575,4176],{"className":4177,"style":2261},[621],[575,4179,603],{"className":4180},[626],[575,4182,4184],{"className":4183},[626],[575,4185,2271],{"className":4186},[878],[575,4188,4190],{"className":4189},[626],"0352",[561,4192,4194],{"id":4193},"typische-fehler","Typische Fehler",[1102,4196,4197,4327,4456,4725],{},[1105,4198,4199,4200,4228,4229,4294,4295,4323,4324,2013],{},"Das erste ",[575,4201,4203,4216],{"className":4202},[578],[575,4204,4206],{"className":4205},[582],[584,4207,4208],{"xmlns":586},[588,4209,4210,4214],{},[591,4211,4212],{},[597,4213,972],{},[605,4215,972],{"encoding":607},[575,4217,4219],{"className":4218,"ariaHidden":613},[612],[575,4220,4222,4225],{"className":4221},[617],[575,4223],{"className":4224,"style":984},[621],[575,4226,972],{"className":4227,"style":988},[626,630]," nehmen, bei dem ",[575,4230,4232,4255],{"className":4231},[578],[575,4233,4235],{"className":4234},[582],[584,4236,4237],{"xmlns":586},[588,4238,4239,4253],{},[591,4240,4241,4243,4245,4247,4249,4251],{},[597,4242,1004],{},[789,4244,1008],{"stretchy":1007},[597,4246,1011],{},[789,4248,1014],{},[597,4250,972],{},[789,4252,1019],{"stretchy":1007},[605,4254,1022],{"encoding":607},[575,4256,4258,4282],{"className":4257,"ariaHidden":613},[612],[575,4259,4261,4264,4267,4270,4273,4276,4279],{"className":4260},[617],[575,4262],{"className":4263,"style":1032},[621],[575,4265,1004],{"className":4266,"style":1036},[626,630],[575,4268,1008],{"className":4269},[1040],[575,4271,1011],{"className":4272,"style":1044},[626,630],[575,4274],{"className":4275,"style":904},[783],[575,4277,1014],{"className":4278},[893],[575,4280],{"className":4281,"style":904},[783],[575,4283,4285,4288,4291],{"className":4284},[617],[575,4286],{"className":4287,"style":1032},[621],[575,4289,972],{"className":4290,"style":988},[626,630],[575,4292,1019],{"className":4293},[1066]," größer als ",[575,4296,4298,4311],{"className":4297},[578],[575,4299,4301],{"className":4300},[582],[584,4302,4303],{"xmlns":586},[588,4304,4305,4309],{},[591,4306,4307],{},[597,4308,1082],{},[605,4310,1085],{"encoding":607},[575,4312,4314],{"className":4313,"ariaHidden":613},[612],[575,4315,4317,4320],{"className":4316},[617],[575,4318],{"className":4319,"style":1095},[621],[575,4321,1082],{"className":4322,"style":1099},[626,630]," ist. Der Ablehnungsbereich endet ",[570,4325,4326],{},"einen Wert davor",[1105,4328,4329,4330,4358,4359,2013],{},"Beim zweiseitigen Test auf jeder Seite das volle ",[575,4331,4333,4346],{"className":4332},[578],[575,4334,4336],{"className":4335},[582],[584,4337,4338],{"xmlns":586},[588,4339,4340,4344],{},[591,4341,4342],{},[597,4343,1082],{},[605,4345,1085],{"encoding":607},[575,4347,4349],{"className":4348,"ariaHidden":613},[612],[575,4350,4352,4355],{"className":4351},[617],[575,4353],{"className":4354,"style":1095},[621],[575,4356,1082],{"className":4357,"style":1099},[626,630]," verwenden. Jede Seite bekommt nur ",[575,4360,4362,4379],{"className":4361},[578],[575,4363,4365],{"className":4364},[582],[584,4366,4367],{"xmlns":586},[588,4368,4369,4377],{},[591,4370,4371],{},[1918,4372,4373,4375],{},[597,4374,1082],{},[601,4376,1924],{},[605,4378,1927],{"encoding":607},[575,4380,4382],{"className":4381,"ariaHidden":613},[612],[575,4383,4385,4388],{"className":4384},[617],[575,4386],{"className":4387,"style":1937},[621],[575,4389,4391,4394,4453],{"className":4390},[626],[575,4392],{"className":4393},[1040,1944],[575,4395,4397],{"className":4396},[1918],[575,4398,4400,4445],{"className":4399},[639,640],[575,4401,4403,4442],{"className":4402},[644],[575,4404,4406,4420,4428],{"className":4405,"style":1957},[648],[575,4407,4408,4411],{"style":1960},[575,4409],{"className":4410,"style":1362},[656],[575,4412,4414],{"className":4413},[661,662,663,664],[575,4415,4417],{"className":4416},[626,664],[575,4418,1924],{"className":4419},[626,664],[575,4421,4422,4425],{"style":1975},[575,4423],{"className":4424,"style":1362},[656],[575,4426],{"className":4427,"style":1379},[1982],[575,4429,4430,4433],{"style":1985},[575,4431],{"className":4432,"style":1362},[656],[575,4434,4436],{"className":4435},[661,662,663,664],[575,4437,4439],{"className":4438},[626,664],[575,4440,1082],{"className":4441,"style":1099},[626,630,664],[575,4443,672],{"className":4444},[671],[575,4446,4448],{"className":4447},[644],[575,4449,4451],{"className":4450,"style":2007},[648],[575,4452],{},[575,4454],{"className":4455},[1066,1944],[1105,4457,4458,4459,4525,4526,4614,4615,2013],{},"Beim rechtsseitigen Test ",[575,4460,4462,4486],{"className":4461},[578],[575,4463,4465],{"className":4464},[582],[584,4466,4467],{"xmlns":586},[588,4468,4469,4483],{},[591,4470,4471,4473,4475,4477,4479,4481],{},[597,4472,1004],{},[789,4474,1008],{"stretchy":1007},[597,4476,1011],{},[789,4478,1476],{},[597,4480,972],{},[789,4482,1019],{"stretchy":1007},[605,4484,4485],{"encoding":607},"P(X \\geq k)",[575,4487,4489,4513],{"className":4488,"ariaHidden":613},[612],[575,4490,4492,4495,4498,4501,4504,4507,4510],{"className":4491},[617],[575,4493],{"className":4494,"style":1032},[621],[575,4496,1004],{"className":4497,"style":1036},[626,630],[575,4499,1008],{"className":4500},[1040],[575,4502,1011],{"className":4503,"style":1044},[626,630],[575,4505],{"className":4506,"style":904},[783],[575,4508,1476],{"className":4509},[893],[575,4511],{"className":4512,"style":904},[783],[575,4514,4516,4519,4522],{"className":4515},[617],[575,4517],{"className":4518,"style":1032},[621],[575,4520,972],{"className":4521,"style":988},[626,630],[575,4523,1019],{"className":4524},[1066]," als ",[575,4527,4529,4557],{"className":4528},[578],[575,4530,4532],{"className":4531},[582],[584,4533,4534],{"xmlns":586},[588,4535,4536,4554],{},[591,4537,4538,4540,4542,4544,4546,4548,4550,4552],{},[601,4539,781],{},[789,4541,1487],{},[597,4543,1004],{},[789,4545,1008],{"stretchy":1007},[597,4547,1011],{},[789,4549,1014],{},[597,4551,972],{},[789,4553,1019],{"stretchy":1007},[605,4555,4556],{"encoding":607},"1 - P(X \\leq k)",[575,4558,4560,4578,4602],{"className":4559,"ariaHidden":613},[612],[575,4561,4563,4566,4569,4572,4575],{"className":4562},[617],[575,4564],{"className":4565,"style":1565},[621],[575,4567,781],{"className":4568},[626],[575,4570],{"className":4571,"style":1572},[783],[575,4573,1487],{"className":4574},[1576],[575,4576],{"className":4577,"style":1572},[783],[575,4579,4581,4584,4587,4590,4593,4596,4599],{"className":4580},[617],[575,4582],{"className":4583,"style":1032},[621],[575,4585,1004],{"className":4586,"style":1036},[626,630],[575,4588,1008],{"className":4589},[1040],[575,4591,1011],{"className":4592,"style":1044},[626,630],[575,4594],{"className":4595,"style":904},[783],[575,4597,1014],{"className":4598},[893],[575,4600],{"className":4601,"style":904},[783],[575,4603,4605,4608,4611],{"className":4604},[617],[575,4606],{"className":4607,"style":1032},[621],[575,4609,972],{"className":4610,"style":988},[626,630],[575,4612,1019],{"className":4613},[1066]," berechnen. Richtig ist ",[575,4616,4618,4650],{"className":4617},[578],[575,4619,4621],{"className":4620},[582],[584,4622,4623],{"xmlns":586},[588,4624,4625,4647],{},[591,4626,4627,4629,4631,4633,4635,4637,4639,4641,4643,4645],{},[601,4628,781],{},[789,4630,1487],{},[597,4632,1004],{},[789,4634,1008],{"stretchy":1007},[597,4636,1011],{},[789,4638,1014],{},[597,4640,972],{},[789,4642,1487],{},[601,4644,781],{},[789,4646,1019],{"stretchy":1007},[605,4648,4649],{"encoding":607},"1 - P(X \\leq k-1)",[575,4651,4653,4671,4695,4713],{"className":4652,"ariaHidden":613},[612],[575,4654,4656,4659,4662,4665,4668],{"className":4655},[617],[575,4657],{"className":4658,"style":1565},[621],[575,4660,781],{"className":4661},[626],[575,4663],{"className":4664,"style":1572},[783],[575,4666,1487],{"className":4667},[1576],[575,4669],{"className":4670,"style":1572},[783],[575,4672,4674,4677,4680,4683,4686,4689,4692],{"className":4673},[617],[575,4675],{"className":4676,"style":1032},[621],[575,4678,1004],{"className":4679,"style":1036},[626,630],[575,4681,1008],{"className":4682},[1040],[575,4684,1011],{"className":4685,"style":1044},[626,630],[575,4687],{"className":4688,"style":904},[783],[575,4690,1014],{"className":4691},[893],[575,4693],{"className":4694,"style":904},[783],[575,4696,4698,4701,4704,4707,4710],{"className":4697},[617],[575,4699],{"className":4700,"style":1610},[621],[575,4702,972],{"className":4703,"style":988},[626,630],[575,4705],{"className":4706,"style":1572},[783],[575,4708,1487],{"className":4709},[1576],[575,4711],{"className":4712,"style":1572},[783],[575,4714,4716,4719,4722],{"className":4715},[617],[575,4717],{"className":4718,"style":1032},[621],[575,4720,781],{"className":4721},[626],[575,4723,1019],{"className":4724},[1066],[1105,4726,4727,4728,4798,4799,4868],{},"Mit einem Wert aus ",[575,4729,4731,4749],{"className":4730},[578],[575,4732,4734],{"className":4733},[582],[584,4735,4736],{"xmlns":586},[588,4737,4738,4746],{},[591,4739,4740],{},[594,4741,4742,4744],{},[597,4743,599],{},[601,4745,781],{},[605,4747,4748],{"encoding":607},"H_1",[575,4750,4752],{"className":4751,"ariaHidden":613},[612],[575,4753,4755,4758],{"className":4754},[617],[575,4756],{"className":4757,"style":622},[621],[575,4759,4761,4764],{"className":4760},[626],[575,4762,599],{"className":4763,"style":631},[626,630],[575,4765,4767],{"className":4766},[635],[575,4768,4770,4790],{"className":4769},[639,640],[575,4771,4773,4787],{"className":4772},[644],[575,4774,4776],{"className":4775,"style":649},[648],[575,4777,4778,4781],{"style":652},[575,4779],{"className":4780,"style":657},[656],[575,4782,4784],{"className":4783},[661,662,663,664],[575,4785,781],{"className":4786},[626,664],[575,4788,672],{"className":4789},[671],[575,4791,4793],{"className":4792},[644],[575,4794,4796],{"className":4795,"style":679},[648],[575,4797],{}," statt mit ",[575,4800,4802,4819],{"className":4801},[578],[575,4803,4805],{"className":4804},[582],[584,4806,4807],{"xmlns":586},[588,4808,4809,4817],{},[591,4810,4811],{},[594,4812,4813,4815],{},[597,4814,566],{},[601,4816,603],{},[605,4818,703],{"encoding":607},[575,4820,4822],{"className":4821,"ariaHidden":613},[612],[575,4823,4825,4828],{"className":4824},[617],[575,4826],{"className":4827,"style":713},[621],[575,4829,4831,4834],{"className":4830},[626],[575,4832,566],{"className":4833},[626,630],[575,4835,4837],{"className":4836},[635],[575,4838,4840,4860],{"className":4839},[639,640],[575,4841,4843,4857],{"className":4842},[644],[575,4844,4846],{"className":4845,"style":649},[648],[575,4847,4848,4851],{"style":734},[575,4849],{"className":4850,"style":657},[656],[575,4852,4854],{"className":4853},[661,662,663,664],[575,4855,603],{"className":4856},[626,664],[575,4858,672],{"className":4859},[671],[575,4861,4863],{"className":4862},[644],[575,4864,4866],{"className":4865,"style":679},[648],[575,4867],{}," rechnen.",{"title":4870,"searchDepth":4871,"depth":4871,"links":4872},"",2,[4873,4874,4875],{"id":563,"depth":4871,"text":564},{"id":2081,"depth":4871,"text":2082},{"id":4193,"depth":4871,"text":4194},[4877,4880,4883,4886,4889,4892,4895,4897],{"lhs":4878,"rhs":4879},"round(sum(map(0:31, f(k) = combinations(100, k) * 0.4^k * 0.6^(100 - k))), 4)","0.0398",{"lhs":4881,"rhs":4882},"round(sum(map(0:32, f(k) = combinations(100, k) * 0.4^k * 0.6^(100 - k))), 4)","0.0615",{"lhs":4884,"rhs":4885},"0.05 \u002F 2","0.025",{"lhs":4887,"rhs":4888},"round(sum(map(0:39, f(k) = combinations(100, k) * 0.5^100)), 4)","0.0176",{"lhs":4890,"rhs":4891},"round(sum(map(0:40, f(k) = combinations(100, k) * 0.5^100)), 4)","0.0284",{"lhs":4893,"rhs":4894},"sum(map(61:100, f(k) = combinations(100, k) * 0.5^100))","sum(map(0:39, f(k) = combinations(100, k) * 0.5^100))",{"lhs":4896,"rhs":3756},"100 - 39",{"lhs":4898,"rhs":4899},"round(2 * sum(map(0:39, f(k) = combinations(100, k) * 0.5^100)), 4)","0.0352","X \\text{ unter } H_0 \\text{ binomialverteilt mit } n \\text{ und } p_0,\\ \\text{linksseitiger Test}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">unter\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>H\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">H_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0813em;\">H\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0813em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">binomialverteilt mit\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">und\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p_0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">linksseitiger Test\u003C\u002Fspan>",null,"md","rejection-region","\\overline{A} = \\{0; \\ldots; k\\} \\text{ mit } P_{p_0}(X \\leq k) \\leq \\alpha \u003C P_{p_0}(X \\leq k+1)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">{\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">;\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">;\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">}\u003C\u002Fmo>\u003Cmtext> mit \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmsub>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmsub>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overline{A} = \\{0; \\ldots; k\\} \\text{ mit } P_{p_0}(X \\leq k) \\leq \\alpha &lt; P_{p_0}(X \\leq k+1)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">{\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">;\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">;\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mclose\">}\u003C\u002Fspan>\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\"> mit \u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">p\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2861em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">&lt;\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">p\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2861em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fablehnungsbereich",[],[4913,4914,4915,4916],"hypothesis-test","type-errors","cumulative-binomial","binomial-distribution",{"title":548,"description":4870},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fablehnungsbereich","Der Ablehnungsbereich ist der größte Randbereich, dessen Wahrscheinlichkeit unter H₀ höchstens α beträgt.",[4921,4922,4923,4924,4925],"hypothesentest","signifikanzniveau","kritischer wert","binomialverteilung","entscheidungsregel",[4927,4931,4934,4937,4940,4943],{"symbol":4928,"meaning":4929,"symbolHtml":4930},"\\overline{A}","Ablehnungsbereich von H₀","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overline{A}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":972,"meaning":4932,"symbolHtml":4933},"kritischer Wert, die größte Trefferzahl, die noch im Ablehnungsbereich liegt","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1011,"meaning":4935,"symbolHtml":4936},"Testgröße, die Anzahl der Treffer in der Stichprobe","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":703,"meaning":4938,"symbolHtml":4939},"Trefferwahrscheinlichkeit laut Nullhypothese","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>α\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\alpha\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4944,"meaning":4945,"symbolHtml":4946},"P_{p_0}","Wahrscheinlichkeit, berechnet mit p = p₀","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmsub>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_{p_0}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan 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