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Der Bereich wird so gewählt, dass dies bei gültiger Nullhypothese höchstens mit der Wahrscheinlichkeit ",[573,940,942,957],{"className":941},[576],[573,943,945],{"className":944},[580],[582,946,947],{"xmlns":584},[586,948,949,954],{},[589,950,951],{},[592,952,953],{},"α",[595,955,956],{"encoding":597},"\\alpha",[573,958,960],{"className":959,"ariaHidden":602},[601],[573,961,963,967],{"className":962},[606],[573,964],{"className":965,"style":966},[610],"height:0.4306em;",[573,968,953],{"className":969,"style":970},[615,616],"margin-right:0.0037em;"," passiert, dem ",[569,973,974],{},"Signifikanzniveau"," (oft ",[573,977,979,1002],{"className":978},[576],[573,980,982],{"className":981},[580],[582,983,984],{"xmlns":584},[586,985,986,999],{},[589,987,988,991,995],{},[641,989,990],{},"5",[992,993,994],"mtext",{}," ",[592,996,998],{"mathvariant":997},"normal","%",[595,1000,1001],{"encoding":597},"5\\,\\%",[573,1003,1005],{"className":1004,"ariaHidden":602},[601],[573,1006,1008,1012,1015,1020],{"className":1007},[606],[573,1009],{"className":1010,"style":1011},[610],"height:0.8056em;vertical-align:-0.0556em;",[573,1013,990],{"className":1014},[615],[573,1016],{"className":1017,"style":1019},[1018],"mspace","margin-right:0.1667em;",[573,1021,998],{"className":1022},[615]," oder ",[573,1025,1027,1045],{"className":1026},[576],[573,1028,1030],{"className":1029},[580],[582,1031,1032],{"xmlns":584},[586,1033,1034,1042],{},[589,1035,1036,1038,1040],{},[641,1037,736],{},[992,1039,994],{},[592,1041,998],{"mathvariant":997},[595,1043,1044],{"encoding":597},"1\\,\\%",[573,1046,1048],{"className":1047,"ariaHidden":602},[601],[573,1049,1051,1054,1057,1060],{"className":1050},[606],[573,1052],{"className":1053,"style":1011},[610],[573,1055,736],{"className":1056},[615],[573,1058],{"className":1059,"style":1019},[1018],[573,1061,998],{"className":1062},[615],").",[565,1065,1066],{},"Ablauf eines Tests mit einer binomialverteilten Testgröße:",[1068,1069,1070,1440,1534,1618,1940],"ol",{},[1071,1072,1073,1074,1264,1265,789],"li",{},"Hypothesen aufstellen, z.B. 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p_0",[573,1125,1127,1217],{"className":1126,"ariaHidden":602},[601],[573,1128,1130,1134,1174,1178,1182,1186,1190,1193,1200,1204,1207,1211,1214],{"className":1129},[606],[573,1131],{"className":1132,"style":1133},[610],"height:0.8778em;vertical-align:-0.1944em;",[573,1135,1137,1140],{"className":1136},[615],[573,1138,639],{"className":1139,"style":663},[615,616],[573,1141,1143],{"className":1142},[667],[573,1144,1146,1166],{"className":1145},[671,672],[573,1147,1149,1163],{"className":1148},[676],[573,1150,1152],{"className":1151,"style":681},[680],[573,1153,1154,1157],{"style":684},[573,1155],{"className":1156,"style":689},[688],[573,1158,1160],{"className":1159},[693,694,695,696],[573,1161,643],{"className":1162},[615,696],[573,1164,704],{"className":1165},[703],[573,1167,1169],{"className":1168},[676],[573,1170,1172],{"className":1171,"style":711},[680],[573,1173],{},[573,1175],{"className":1176},[1018,1177],"nobreak",[573,1179],{"className":1180,"style":1181},[1018],"margin-right:0.1111em;",[573,1183],{"className":1184},[1185],"mpunct",[573,1187],{"className":1188,"style":1189},[1018],"margin-right:-0.1667em;",[573,1191],{"className":1192,"style":1019},[1018],[573,1194,1196],{"className":1195},[615],[573,1197,1106],{"className":1198},[1199],"mrel",[573,1201],{"className":1202,"style":1203},[1018],"margin-right:0.3333em;",[573,1205,565],{"className":1206},[615,616],[573,1208],{"className":1209,"style":1210},[1018],"margin-right:0.2778em;",[573,1212,1114],{"className":1213},[1199],[573,1215],{"className":1216,"style":1210},[1018],[573,1218,1220,1223],{"className":1219},[606],[573,1221],{"className":1222,"style":611},[610],[573,1224,1226,1229],{"className":1225},[615],[573,1227,565],{"className":1228},[615,616],[573,1230,1232],{"className":1231},[667],[573,1233,1235,1256],{"className":1234},[671,672],[573,1236,1238,1253],{"className":1237},[676],[573,1239,1241],{"className":1240,"style":681},[680],[573,1242,1244,1247],{"style":1243},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[573,1245],{"className":1246,"style":689},[688],[573,1248,1250],{"className":1249},[693,694,695,696],[573,1251,643],{"className":1252},[615,696],[573,1254,704],{"className":1255},[703],[573,1257,1259],{"className":1258},[676],[573,1260,1262],{"className":1261,"style":711},[680],[573,1263],{}," gegen ",[573,1266,1268,1309],{"className":1267},[576],[573,1269,1271],{"className":1270},[580],[582,1272,1273],{"xmlns":584},[586,1274,1275,1306],{},[589,1276,1277,1283,1285,1287,1289,1291,1293,1295,1297,1300],{},[635,1278,1279,1281],{},[592,1280,639],{},[641,1282,736],{},[1018,1284],{},[1018,1286],{"width":1096},[815,1288],{"lspace":1099,"rspace":1100},[992,1290,1103],{},[815,1292,1106],{"lspace":1099,"rspace":1099},[1018,1294],{"width":1109},[592,1296,565],{},[815,1298,1299],{},">",[635,1301,1302,1304],{},[592,1303,565],{},[641,1305,643],{},[595,1307,1308],{"encoding":597},"H_1\\colon p > p_0",[573,1310,1312,1394],{"className":1311,"ariaHidden":602},[601],[573,1313,1315,1318,1358,1361,1364,1367,1370,1373,1379,1382,1385,1388,1391],{"className":1314},[606],[573,1316],{"className":1317,"style":1133},[610],[573,1319,1321,1324],{"className":1320},[615],[573,1322,639],{"className":1323,"style":663},[615,616],[573,1325,1327],{"className":1326},[667],[573,1328,1330,1350],{"className":1329},[671,672],[573,1331,1333,1347],{"className":1332},[676],[573,1334,1336],{"className":1335,"style":681},[680],[573,1337,1338,1341],{"style":684},[573,1339],{"className":1340,"style":689},[688],[573,1342,1344],{"className":1343},[693,694,695,696],[573,1345,736],{"className":1346},[615,696],[573,1348,704],{"className":1349},[703],[573,1351,1353],{"className":1352},[676],[573,1354,1356],{"className":1355,"style":711},[680],[573,1357],{},[573,1359],{"className":1360},[1018,1177],[573,1362],{"className":1363,"style":1181},[1018],[573,1365],{"className":1366},[1185],[573,1368],{"className":1369,"style":1189},[1018],[573,1371],{"className":1372,"style":1019},[1018],[573,1374,1376],{"className":1375},[615],[573,1377,1106],{"className":1378},[1199],[573,1380],{"className":1381,"style":1203},[1018],[573,1383,565],{"className":1384},[615,616],[573,1386],{"className":1387,"style":1210},[1018],[573,1389,1299],{"className":1390},[1199],[573,1392],{"className":1393,"style":1210},[1018],[573,1395,1397,1400],{"className":1396},[606],[573,1398],{"className":1399,"style":611},[610],[573,1401,1403,1406],{"className":1402},[615],[573,1404,565],{"className":1405},[615,616],[573,1407,1409],{"className":1408},[667],[573,1410,1412,1432],{"className":1411},[671,672],[573,1413,1415,1429],{"className":1414},[676],[573,1416,1418],{"className":1417,"style":681},[680],[573,1419,1420,1423],{"style":1243},[573,1421],{"className":1422,"style":689},[688],[573,1424,1426],{"className":1425},[693,694,695,696],[573,1427,643],{"className":1428},[615,696],[573,1430,704],{"className":1431},[703],[573,1433,1435],{"className":1434},[676],[573,1436,1438],{"className":1437,"style":711},[680],[573,1439],{},[1071,1441,1442,1443,1474,1475,1504,1505,1533],{},"Testgröße ",[573,1444,1446,1460],{"className":1445},[576],[573,1447,1449],{"className":1448},[580],[582,1450,1451],{"xmlns":584},[586,1452,1453,1458],{},[589,1454,1455],{},[592,1456,1457],{},"X",[595,1459,1457],{"encoding":597},[573,1461,1463],{"className":1462,"ariaHidden":602},[601],[573,1464,1466,1470],{"className":1465},[606],[573,1467],{"className":1468,"style":1469},[610],"height:0.6833em;",[573,1471,1457],{"className":1472,"style":1473},[615,616],"margin-right:0.0785em;",", Stichprobenumfang ",[573,1476,1478,1492],{"className":1477},[576],[573,1479,1481],{"className":1480},[580],[582,1482,1483],{"xmlns":584},[586,1484,1485,1490],{},[589,1486,1487],{},[592,1488,1489],{},"n",[595,1491,1489],{"encoding":597},[573,1493,1495],{"className":1494,"ariaHidden":602},[601],[573,1496,1498,1501],{"className":1497},[606],[573,1499],{"className":1500,"style":966},[610],[573,1502,1489],{"className":1503},[615,616]," und Signifikanzniveau ",[573,1506,1508,1521],{"className":1507},[576],[573,1509,1511],{"className":1510},[580],[582,1512,1513],{"xmlns":584},[586,1514,1515,1519],{},[589,1516,1517],{},[592,1518,953],{},[595,1520,956],{"encoding":597},[573,1522,1524],{"className":1523,"ariaHidden":602},[601],[573,1525,1527,1530],{"className":1526},[606],[573,1528],{"className":1529,"style":966},[610],[573,1531,953],{"className":1532,"style":970},[615,616]," festlegen.",[1071,1535,1536,1537,1540,1541,1610,1611,1614,1615,789],{},"Art des Tests bestimmen: ",[569,1538,1539],{},"rechtsseitig"," (große Werte sprechen gegen ",[573,1542,1544,1561],{"className":1543},[576],[573,1545,1547],{"className":1546},[580],[582,1548,1549],{"xmlns":584},[586,1550,1551,1559],{},[589,1552,1553],{},[635,1554,1555,1557],{},[592,1556,639],{},[641,1558,643],{},[595,1560,646],{"encoding":597},[573,1562,1564],{"className":1563,"ariaHidden":602},[601],[573,1565,1567,1570],{"className":1566},[606],[573,1568],{"className":1569,"style":656},[610],[573,1571,1573,1576],{"className":1572},[615],[573,1574,639],{"className":1575,"style":663},[615,616],[573,1577,1579],{"className":1578},[667],[573,1580,1582,1602],{"className":1581},[671,672],[573,1583,1585,1599],{"className":1584},[676],[573,1586,1588],{"className":1587,"style":681},[680],[573,1589,1590,1593],{"style":684},[573,1591],{"className":1592,"style":689},[688],[573,1594,1596],{"className":1595},[693,694,695,696],[573,1597,643],{"className":1598},[615,696],[573,1600,704],{"className":1601},[703],[573,1603,1605],{"className":1604},[676],[573,1606,1608],{"className":1607,"style":711},[680],[573,1609],{},"), ",[569,1612,1613],{},"linksseitig"," (kleine Werte) oder ",[569,1616,1617],{},"zweiseitig",[1071,1619,1620,1621,1714,1715,1939],{},"Den Ablehnungsbereich mit ",[573,1622,1624,1647],{"className":1623},[576],[573,1625,1627],{"className":1626},[580],[582,1628,1629],{"xmlns":584},[586,1630,1631,1644],{},[589,1632,1633,1635,1638],{},[592,1634,565],{},[815,1636,1637],{},"=",[635,1639,1640,1642],{},[592,1641,565],{},[641,1643,643],{},[595,1645,1646],{"encoding":597},"p = p_0",[573,1648,1650,1668],{"className":1649,"ariaHidden":602},[601],[573,1651,1653,1656,1659,1662,1665],{"className":1652},[606],[573,1654],{"className":1655,"style":611},[610],[573,1657,565],{"className":1658},[615,616],[573,1660],{"className":1661,"style":1210},[1018],[573,1663,1637],{"className":1664},[1199],[573,1666],{"className":1667,"style":1210},[1018],[573,1669,1671,1674],{"className":1670},[606],[573,1672],{"className":1673,"style":611},[610],[573,1675,1677,1680],{"className":1676},[615],[573,1678,565],{"className":1679},[615,616],[573,1681,1683],{"className":1682},[667],[573,1684,1686,1706],{"className":1685},[671,672],[573,1687,1689,1703],{"className":1688},[676],[573,1690,1692],{"className":1691,"style":681},[680],[573,1693,1694,1697],{"style":1243},[573,1695],{"className":1696,"style":689},[688],[573,1698,1700],{"className":1699},[693,694,695,696],[573,1701,643],{"className":1702},[615,696],[573,1704,704],{"className":1705},[703],[573,1707,1709],{"className":1708},[676],[573,1710,1712],{"className":1711,"style":711},[680],[573,1713],{}," so groß wie möglich wählen, sodass ",[573,1716,1718,1763],{"className":1717},[576],[573,1719,1721],{"className":1720},[580],[582,1722,1723],{"xmlns":584},[586,1724,1725,1760],{},[589,1726,1727,1738,1742,1744,1747,1753,1756,1758],{},[635,1728,1729,1732],{},[592,1730,1731],{},"P",[635,1733,1734,1736],{},[592,1735,565],{},[641,1737,643],{},[815,1739,1741],{"stretchy":1740},"false","(",[592,1743,1457],{},[815,1745,1746],{},"∈",[809,1748,1749,1751],{"accent":602},[592,1750,813],{},[815,1752,817],{"stretchy":602},[815,1754,1755],{"stretchy":1740},")",[815,1757,1114],{},[592,1759,953],{},[595,1761,1762],{"encoding":597},"P_{p_0}(X \\in \\overline{A}) \\leq \\alpha",[573,1764,1766,1879,1930],{"className":1765,"ariaHidden":602},[601],[573,1767,1769,1773,1863,1867,1870,1873,1876],{"className":1768},[606],[573,1770],{"className":1771,"style":1772},[610],"height:1.0361em;vertical-align:-0.2861em;",[573,1774,1776,1780],{"className":1775},[615],[573,1777,1731],{"className":1778,"style":1779},[615,616],"margin-right:0.1389em;",[573,1781,1783],{"className":1782},[667],[573,1784,1786,1854],{"className":1785},[671,672],[573,1787,1789,1851],{"className":1788},[676],[573,1790,1793],{"className":1791,"style":1792},[680],"height:0.1514em;",[573,1794,1796,1799],{"style":1795},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[573,1797],{"className":1798,"style":689},[688],[573,1800,1802],{"className":1801},[693,694,695,696],[573,1803,1805],{"className":1804},[615,696],[573,1806,1808,1811],{"className":1807},[615,696],[573,1809,565],{"className":1810},[615,616,696],[573,1812,1814],{"className":1813},[667],[573,1815,1817,1842],{"className":1816},[671,672],[573,1818,1820,1839],{"className":1819},[676],[573,1821,1824],{"className":1822,"style":1823},[680],"height:0.3173em;",[573,1825,1827,1831],{"style":1826},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[573,1828],{"className":1829,"style":1830},[688],"height:2.5em;",[573,1832,1836],{"className":1833},[693,1834,1835,696],"reset-size3","size1",[573,1837,643],{"className":1838},[615,696],[573,1840,704],{"className":1841},[703],[573,1843,1845],{"className":1844},[676],[573,1846,1849],{"className":1847,"style":1848},[680],"height:0.143em;",[573,1850],{},[573,1852,704],{"className":1853},[703],[573,1855,1857],{"className":1856},[676],[573,1858,1861],{"className":1859,"style":1860},[680],"height:0.2861em;",[573,1862],{},[573,1864,1741],{"className":1865},[1866],"mopen",[573,1868,1457],{"className":1869,"style":1473},[615,616],[573,1871],{"className":1872,"style":1210},[1018],[573,1874,1746],{"className":1875},[1199],[573,1877],{"className":1878,"style":1210},[1018],[573,1880,1882,1886,1917,1921,1924,1927],{"className":1881},[606],[573,1883],{"className":1884,"style":1885},[610],"height:1.1333em;vertical-align:-0.25em;",[573,1887,1889],{"className":1888},[615,834],[573,1890,1892],{"className":1891},[671],[573,1893,1895],{"className":1894},[676],[573,1896,1898,1909],{"className":1897,"style":830},[680],[573,1899,1900,1903],{"style":846},[573,1901],{"className":1902,"style":850},[688],[573,1904,1906],{"className":1905},[615],[573,1907,813],{"className":1908},[615,616],[573,1910,1911,1914],{"style":859},[573,1912],{"className":1913,"style":850},[688],[573,1915],{"className":1916,"style":867},[866],[573,1918,1755],{"className":1919},[1920],"mclose",[573,1922],{"className":1923,"style":1210},[1018],[573,1925,1114],{"className":1926},[1199],[573,1928],{"className":1929,"style":1210},[1018],[573,1931,1933,1936],{"className":1932},[606],[573,1934],{"className":1935,"style":966},[610],[573,1937,953],{"className":1938,"style":970},[615,616]," gilt.",[1071,1941,1942],{},"Entscheidungsregel formulieren, Stichprobe auswerten, Ergebnis im Sachzusammenhang formulieren.",[565,1944,1945,1946,1949,1950,2019,2020,2089],{},"Alle Schritte bis zur Entscheidungsregel müssen ",[569,1947,1948],{},"vor"," der Auswertung der Stichprobe feststehen. Ein Test beweist nichts: Wer ",[573,1951,1953,1970],{"className":1952},[576],[573,1954,1956],{"className":1955},[580],[582,1957,1958],{"xmlns":584},[586,1959,1960,1968],{},[589,1961,1962],{},[635,1963,1964,1966],{},[592,1965,639],{},[641,1967,643],{},[595,1969,646],{"encoding":597},[573,1971,1973],{"className":1972,"ariaHidden":602},[601],[573,1974,1976,1979],{"className":1975},[606],[573,1977],{"className":1978,"style":656},[610],[573,1980,1982,1985],{"className":1981},[615],[573,1983,639],{"className":1984,"style":663},[615,616],[573,1986,1988],{"className":1987},[667],[573,1989,1991,2011],{"className":1990},[671,672],[573,1992,1994,2008],{"className":1993},[676],[573,1995,1997],{"className":1996,"style":681},[680],[573,1998,1999,2002],{"style":684},[573,2000],{"className":2001,"style":689},[688],[573,2003,2005],{"className":2004},[693,694,695,696],[573,2006,643],{"className":2007},[615,696],[573,2009,704],{"className":2010},[703],[573,2012,2014],{"className":2013},[676],[573,2015,2017],{"className":2016,"style":711},[680],[573,2018],{}," verwirft, kann sich irren (Fehler 1. Art), und wer ",[573,2021,2023,2040],{"className":2022},[576],[573,2024,2026],{"className":2025},[580],[582,2027,2028],{"xmlns":584},[586,2029,2030,2038],{},[589,2031,2032],{},[635,2033,2034,2036],{},[592,2035,639],{},[641,2037,643],{},[595,2039,646],{"encoding":597},[573,2041,2043],{"className":2042,"ariaHidden":602},[601],[573,2044,2046,2049],{"className":2045},[606],[573,2047],{"className":2048,"style":656},[610],[573,2050,2052,2055],{"className":2051},[615],[573,2053,639],{"className":2054,"style":663},[615,616],[573,2056,2058],{"className":2057},[667],[573,2059,2061,2081],{"className":2060},[671,672],[573,2062,2064,2078],{"className":2063},[676],[573,2065,2067],{"className":2066,"style":681},[680],[573,2068,2069,2072],{"style":684},[573,2070],{"className":2071,"style":689},[688],[573,2073,2075],{"className":2074},[693,694,695,696],[573,2076,643],{"className":2077},[615,696],[573,2079,704],{"className":2080},[703],[573,2082,2084],{"className":2083},[676],[573,2085,2087],{"className":2086,"style":711},[680],[573,2088],{}," nicht verwirft, hat sie damit nicht bestätigt.",[560,2091,2093],{"id":2092},"beispiele","Beispiele",[565,2095,2096,2097,2137,2138,2191,2192,2220],{},"Ein bisheriges Medikament wirkt bei ",[573,2098,2100,2119],{"className":2099},[576],[573,2101,2103],{"className":2102},[580],[582,2104,2105],{"xmlns":584},[586,2106,2107,2116],{},[589,2108,2109,2112,2114],{},[641,2110,2111],{},"60",[992,2113,994],{},[592,2115,998],{"mathvariant":997},[595,2117,2118],{"encoding":597},"60\\,\\%",[573,2120,2122],{"className":2121,"ariaHidden":602},[601],[573,2123,2125,2128,2131,2134],{"className":2124},[606],[573,2126],{"className":2127,"style":1011},[610],[573,2129,2111],{"className":2130},[615],[573,2132],{"className":2133,"style":1019},[1018],[573,2135,998],{"className":2136},[615]," der Patienten. Ein Hersteller behauptet, sein neues Mittel wirke besser. Es wird an ",[573,2139,2141,2160],{"className":2140},[576],[573,2142,2144],{"className":2143},[580],[582,2145,2146],{"xmlns":584},[586,2147,2148,2157],{},[589,2149,2150,2152,2154],{},[592,2151,1489],{},[815,2153,1637],{},[641,2155,2156],{},"50",[595,2158,2159],{"encoding":597},"n = 50",[573,2161,2163,2181],{"className":2162,"ariaHidden":602},[601],[573,2164,2166,2169,2172,2175,2178],{"className":2165},[606],[573,2167],{"className":2168,"style":966},[610],[573,2170,1489],{"className":2171},[615,616],[573,2173],{"className":2174,"style":1210},[1018],[573,2176,1637],{"className":2177},[1199],[573,2179],{"className":2180,"style":1210},[1018],[573,2182,2184,2188],{"className":2183},[606],[573,2185],{"className":2186,"style":2187},[610],"height:0.6444em;",[573,2189,2156],{"className":2190},[615]," Personen getestet, ",[573,2193,2195,2208],{"className":2194},[576],[573,2196,2198],{"className":2197},[580],[582,2199,2200],{"xmlns":584},[586,2201,2202,2206],{},[589,2203,2204],{},[592,2205,1457],{},[595,2207,1457],{"encoding":597},[573,2209,2211],{"className":2210,"ariaHidden":602},[601],[573,2212,2214,2217],{"className":2213},[606],[573,2215],{"className":2216,"style":1469},[610],[573,2218,1457],{"className":2219,"style":1473},[615,616]," ist die Anzahl der Personen, bei denen es wirkt.",[2222,2223,2224,2618,2821],"ul",{},[1071,2225,2226,2227,2373,2374,2516,2517,789],{},"Hypothesen: ",[573,2228,2230,2267],{"className":2229},[576],[573,2231,2233],{"className":2232},[580],[582,2234,2235],{"xmlns":584},[586,2236,2237,2264],{},[589,2238,2239,2245,2247,2249,2251,2253,2255,2257,2259,2261],{},[635,2240,2241,2243],{},[592,2242,639],{},[641,2244,643],{},[1018,2246],{},[1018,2248],{"width":1096},[815,2250],{"lspace":1099,"rspace":1100},[992,2252,1103],{},[815,2254,1106],{"lspace":1099,"rspace":1099},[1018,2256],{"width":1109},[592,2258,565],{},[815,2260,1114],{},[641,2262,2263],{},"0,6",[595,2265,2266],{"encoding":597},"H_0\\colon p \\leq 0{,}6",[573,2268,2270,2352],{"className":2269,"ariaHidden":602},[601],[573,2271,2273,2276,2316,2319,2322,2325,2328,2331,2337,2340,2343,2346,2349],{"className":2272},[606],[573,2274],{"className":2275,"style":1133},[610],[573,2277,2279,2282],{"className":2278},[615],[573,2280,639],{"className":2281,"style":663},[615,616],[573,2283,2285],{"className":2284},[667],[573,2286,2288,2308],{"className":2287},[671,672],[573,2289,2291,2305],{"className":2290},[676],[573,2292,2294],{"className":2293,"style":681},[680],[573,2295,2296,2299],{"style":684},[573,2297],{"className":2298,"style":689},[688],[573,2300,2302],{"className":2301},[693,694,695,696],[573,2303,643],{"className":2304},[615,696],[573,2306,704],{"className":2307},[703],[573,2309,2311],{"className":2310},[676],[573,2312,2314],{"className":2313,"style":711},[680],[573,2315],{},[573,2317],{"className":2318},[1018,1177],[573,2320],{"className":2321,"style":1181},[1018],[573,2323],{"className":2324},[1185],[573,2326],{"className":2327,"style":1189},[1018],[573,2329],{"className":2330,"style":1019},[1018],[573,2332,2334],{"className":2333},[615],[573,2335,1106],{"className":2336},[1199],[573,2338],{"className":2339,"style":1203},[1018],[573,2341,565],{"className":2342},[615,616],[573,2344],{"className":2345,"style":1210},[1018],[573,2347,1114],{"className":2348},[1199],[573,2350],{"className":2351,"style":1210},[1018],[573,2353,2355,2359,2362,2369],{"className":2354},[606],[573,2356],{"className":2357,"style":2358},[610],"height:0.8389em;vertical-align:-0.1944em;",[573,2360,643],{"className":2361},[615],[573,2363,2365],{"className":2364},[615],[573,2366,2368],{"className":2367},[1185],",",[573,2370,2372],{"className":2371},[615],"6",", ",[573,2375,2377,2413],{"className":2376},[576],[573,2378,2380],{"className":2379},[580],[582,2381,2382],{"xmlns":584},[586,2383,2384,2410],{},[589,2385,2386,2392,2394,2396,2398,2400,2402,2404,2406,2408],{},[635,2387,2388,2390],{},[592,2389,639],{},[641,2391,736],{},[1018,2393],{},[1018,2395],{"width":1096},[815,2397],{"lspace":1099,"rspace":1100},[992,2399,1103],{},[815,2401,1106],{"lspace":1099,"rspace":1099},[1018,2403],{"width":1109},[592,2405,565],{},[815,2407,1299],{},[641,2409,2263],{},[595,2411,2412],{"encoding":597},"H_1\\colon p > 0{,}6",[573,2414,2416,2498],{"className":2415,"ariaHidden":602},[601],[573,2417,2419,2422,2462,2465,2468,2471,2474,2477,2483,2486,2489,2492,2495],{"className":2418},[606],[573,2420],{"className":2421,"style":1133},[610],[573,2423,2425,2428],{"className":2424},[615],[573,2426,639],{"className":2427,"style":663},[615,616],[573,2429,2431],{"className":2430},[667],[573,2432,2434,2454],{"className":2433},[671,672],[573,2435,2437,2451],{"className":2436},[676],[573,2438,2440],{"className":2439,"style":681},[680],[573,2441,2442,2445],{"style":684},[573,2443],{"className":2444,"style":689},[688],[573,2446,2448],{"className":2447},[693,694,695,696],[573,2449,736],{"className":2450},[615,696],[573,2452,704],{"className":2453},[703],[573,2455,2457],{"className":2456},[676],[573,2458,2460],{"className":2459,"style":711},[680],[573,2461],{},[573,2463],{"className":2464},[1018,1177],[573,2466],{"className":2467,"style":1181},[1018],[573,2469],{"className":2470},[1185],[573,2472],{"className":2473,"style":1189},[1018],[573,2475],{"className":2476,"style":1019},[1018],[573,2478,2480],{"className":2479},[615],[573,2481,1106],{"className":2482},[1199],[573,2484],{"className":2485,"style":1203},[1018],[573,2487,565],{"className":2488},[615,616],[573,2490],{"className":2491,"style":1210},[1018],[573,2493,1299],{"className":2494},[1199],[573,2496],{"className":2497,"style":1210},[1018],[573,2499,2501,2504,2507,2513],{"className":2500},[606],[573,2502],{"className":2503,"style":2358},[610],[573,2505,643],{"className":2506},[615],[573,2508,2510],{"className":2509},[615],[573,2511,2368],{"className":2512},[1185],[573,2514,2372],{"className":2515},[615],". Gerechnet wird mit dem Randwert ",[573,2518,2520,2542],{"className":2519},[576],[573,2521,2523],{"className":2522},[580],[582,2524,2525],{"xmlns":584},[586,2526,2527,2539],{},[589,2528,2529,2535,2537],{},[635,2530,2531,2533],{},[592,2532,565],{},[641,2534,643],{},[815,2536,1637],{},[641,2538,2263],{},[595,2540,2541],{"encoding":597},"p_0 = 0{,}6",[573,2543,2545,2600],{"className":2544,"ariaHidden":602},[601],[573,2546,2548,2551,2591,2594,2597],{"className":2547},[606],[573,2549],{"className":2550,"style":611},[610],[573,2552,2554,2557],{"className":2553},[615],[573,2555,565],{"className":2556},[615,616],[573,2558,2560],{"className":2559},[667],[573,2561,2563,2583],{"className":2562},[671,672],[573,2564,2566,2580],{"className":2565},[676],[573,2567,2569],{"className":2568,"style":681},[680],[573,2570,2571,2574],{"style":1243},[573,2572],{"className":2573,"style":689},[688],[573,2575,2577],{"className":2576},[693,694,695,696],[573,2578,643],{"className":2579},[615,696],[573,2581,704],{"className":2582},[703],[573,2584,2586],{"className":2585},[676],[573,2587,2589],{"className":2588,"style":711},[680],[573,2590],{},[573,2592],{"className":2593,"style":1210},[1018],[573,2595,1637],{"className":2596},[1199],[573,2598],{"className":2599,"style":1210},[1018],[573,2601,2603,2606,2609,2615],{"className":2602},[606],[573,2604],{"className":2605,"style":2358},[610],[573,2607,643],{"className":2608},[615],[573,2610,2612],{"className":2611},[615],[573,2613,2368],{"className":2614},[1185],[573,2616,2372],{"className":2617},[615],[1071,2619,2620,2621,2690,2691,789],{},"Viele Erfolge sprechen gegen ",[573,2622,2624,2641],{"className":2623},[576],[573,2625,2627],{"className":2626},[580],[582,2628,2629],{"xmlns":584},[586,2630,2631,2639],{},[589,2632,2633],{},[635,2634,2635,2637],{},[592,2636,639],{},[641,2638,643],{},[595,2640,646],{"encoding":597},[573,2642,2644],{"className":2643,"ariaHidden":602},[601],[573,2645,2647,2650],{"className":2646},[606],[573,2648],{"className":2649,"style":656},[610],[573,2651,2653,2656],{"className":2652},[615],[573,2654,639],{"className":2655,"style":663},[615,616],[573,2657,2659],{"className":2658},[667],[573,2660,2662,2682],{"className":2661},[671,672],[573,2663,2665,2679],{"className":2664},[676],[573,2666,2668],{"className":2667,"style":681},[680],[573,2669,2670,2673],{"style":684},[573,2671],{"className":2672,"style":689},[688],[573,2674,2676],{"className":2675},[693,694,695,696],[573,2677,643],{"className":2678},[615,696],[573,2680,704],{"className":2681},[703],[573,2683,2685],{"className":2684},[676],[573,2686,2688],{"className":2687,"style":711},[680],[573,2689],{},", der Test ist rechtsseitig: ",[573,2692,2694,2733],{"className":2693},[576],[573,2695,2697],{"className":2696},[580],[582,2698,2699],{"xmlns":584},[586,2700,2701,2730],{},[589,2702,2703,2709,2711,2714,2717,2720,2723,2725,2727],{},[809,2704,2705,2707],{"accent":602},[592,2706,813],{},[815,2708,817],{"stretchy":602},[815,2710,1637],{},[815,2712,2713],{"stretchy":1740},"{",[592,2715,2716],{},"k",[815,2718,2719],{"separator":602},";",[815,2721,2722],{},"…",[815,2724,2719],{"separator":602},[641,2726,2156],{},[815,2728,2729],{"stretchy":1740},"}",[595,2731,2732],{"encoding":597},"\\overline{A} = \\{k; \\ldots; 50\\}",[573,2734,2736,2782],{"className":2735,"ariaHidden":602},[601],[573,2737,2739,2742,2773,2776,2779],{"className":2738},[606],[573,2740],{"className":2741,"style":830},[610],[573,2743,2745],{"className":2744},[615,834],[573,2746,2748],{"className":2747},[671],[573,2749,2751],{"className":2750},[676],[573,2752,2754,2765],{"className":2753,"style":830},[680],[573,2755,2756,2759],{"style":846},[573,2757],{"className":2758,"style":850},[688],[573,2760,2762],{"className":2761},[615],[573,2763,813],{"className":2764},[615,616],[573,2766,2767,2770],{"style":859},[573,2768],{"className":2769,"style":850},[688],[573,2771],{"className":2772,"style":867},[866],[573,2774],{"className":2775,"style":1210},[1018],[573,2777,1637],{"className":2778},[1199],[573,2780],{"className":2781,"style":1210},[1018],[573,2783,2785,2789,2792,2796,2799,2802,2806,2809,2812,2815,2818],{"className":2784},[606],[573,2786],{"className":2787,"style":2788},[610],"height:1em;vertical-align:-0.25em;",[573,2790,2713],{"className":2791},[1866],[573,2793,2716],{"className":2794,"style":2795},[615,616],"margin-right:0.0315em;",[573,2797,2719],{"className":2798},[1185],[573,2800],{"className":2801,"style":1019},[1018],[573,2803,2722],{"className":2804},[2805],"minner",[573,2807],{"className":2808,"style":1019},[1018],[573,2810,2719],{"className":2811},[1185],[573,2813],{"className":2814,"style":1019},[1018],[573,2816,2156],{"className":2817},[615],[573,2819,2729],{"className":2820},[1920],[1071,2822,2823,2824,2893,2894,2980],{},"Erwartet werden unter ",[573,2825,2827,2844],{"className":2826},[576],[573,2828,2830],{"className":2829},[580],[582,2831,2832],{"xmlns":584},[586,2833,2834,2842],{},[589,2835,2836],{},[635,2837,2838,2840],{},[592,2839,639],{},[641,2841,643],{},[595,2843,646],{"encoding":597},[573,2845,2847],{"className":2846,"ariaHidden":602},[601],[573,2848,2850,2853],{"className":2849},[606],[573,2851],{"className":2852,"style":656},[610],[573,2854,2856,2859],{"className":2855},[615],[573,2857,639],{"className":2858,"style":663},[615,616],[573,2860,2862],{"className":2861},[667],[573,2863,2865,2885],{"className":2864},[671,672],[573,2866,2868,2882],{"className":2867},[676],[573,2869,2871],{"className":2870,"style":681},[680],[573,2872,2873,2876],{"style":684},[573,2874],{"className":2875,"style":689},[688],[573,2877,2879],{"className":2878},[693,694,695,696],[573,2880,643],{"className":2881},[615,696],[573,2883,704],{"className":2884},[703],[573,2886,2888],{"className":2887},[676],[573,2889,2891],{"className":2890,"style":711},[680],[573,2892],{}," etwa ",[573,2895,2897,2921],{"className":2896},[576],[573,2898,2900],{"className":2899},[580],[582,2901,2902],{"xmlns":584},[586,2903,2904,2918],{},[589,2905,2906,2908,2911,2913,2915],{},[641,2907,2156],{},[815,2909,2910],{},"⋅",[641,2912,2263],{},[815,2914,1637],{},[641,2916,2917],{},"30",[595,2919,2920],{"encoding":597},"50 \\cdot 0{,}6 = 30",[573,2922,2924,2944,2971],{"className":2923,"ariaHidden":602},[601],[573,2925,2927,2930,2933,2937,2941],{"className":2926},[606],[573,2928],{"className":2929,"style":2187},[610],[573,2931,2156],{"className":2932},[615],[573,2934],{"className":2935,"style":2936},[1018],"margin-right:0.2222em;",[573,2938,2910],{"className":2939},[2940],"mbin",[573,2942],{"className":2943,"style":2936},[1018],[573,2945,2947,2950,2953,2959,2962,2965,2968],{"className":2946},[606],[573,2948],{"className":2949,"style":2358},[610],[573,2951,643],{"className":2952},[615],[573,2954,2956],{"className":2955},[615],[573,2957,2368],{"className":2958},[1185],[573,2960,2372],{"className":2961},[615],[573,2963],{"className":2964,"style":1210},[1018],[573,2966,1637],{"className":2967},[1199],[573,2969],{"className":2970,"style":1210},[1018],[573,2972,2974,2977],{"className":2973},[606],[573,2975],{"className":2976,"style":2187},[610],[573,2978,2917],{"className":2979},[615]," Erfolge.",[565,2982,2983,2984,3013,3014,1106],{},"Gesucht ist das kleinste ",[573,2985,2987,3000],{"className":2986},[576],[573,2988,2990],{"className":2989},[580],[582,2991,2992],{"xmlns":584},[586,2993,2994,2998],{},[589,2995,2996],{},[592,2997,2716],{},[595,2999,2716],{"encoding":597},[573,3001,3003],{"className":3002,"ariaHidden":602},[601],[573,3004,3006,3010],{"className":3005},[606],[573,3007],{"className":3008,"style":3009},[610],"height:0.6944em;",[573,3011,2716],{"className":3012,"style":2795},[615,616]," mit ",[573,3015,3017,3047],{"className":3016},[576],[573,3018,3020],{"className":3019},[580],[582,3021,3022],{"xmlns":584},[586,3023,3024,3044],{},[589,3025,3026,3028,3030,3032,3035,3037,3039,3041],{},[592,3027,1731],{},[815,3029,1741],{"stretchy":1740},[592,3031,1457],{},[815,3033,3034],{},"≥",[592,3036,2716],{},[815,3038,1755],{"stretchy":1740},[815,3040,1114],{},[641,3042,3043],{},"0,05",[595,3045,3046],{"encoding":597},"P(X \\geq k) \\leq 0{,}05",[573,3048,3050,3074,3095],{"className":3049,"ariaHidden":602},[601],[573,3051,3053,3056,3059,3062,3065,3068,3071],{"className":3052},[606],[573,3054],{"className":3055,"style":2788},[610],[573,3057,1731],{"className":3058,"style":1779},[615,616],[573,3060,1741],{"className":3061},[1866],[573,3063,1457],{"className":3064,"style":1473},[615,616],[573,3066],{"className":3067,"style":1210},[1018],[573,3069,3034],{"className":3070},[1199],[573,3072],{"className":3073,"style":1210},[1018],[573,3075,3077,3080,3083,3086,3089,3092],{"className":3076},[606],[573,3078],{"className":3079,"style":2788},[610],[573,3081,2716],{"className":3082,"style":2795},[615,616],[573,3084,1755],{"className":3085},[1920],[573,3087],{"className":3088,"style":1210},[1018],[573,3090,1114],{"className":3091},[1199],[573,3093],{"className":3094,"style":1210},[1018],[573,3096,3098,3101,3104,3110],{"className":3097},[606],[573,3099],{"className":3100,"style":2358},[610],[573,3102,643],{"className":3103},[615],[573,3105,3107],{"className":3106},[615],[573,3108,2368],{"className":3109},[1185],[573,3111,3113],{"className":3112},[615],"05",[573,3115,3118],{"className":3116},[3117],"katex-display",[573,3119,3121,3184],{"className":3120},[576],[573,3122,3124],{"className":3123},[580],[582,3125,3127],{"xmlns":584,"display":3126},"block",[586,3128,3129,3181],{},[589,3130,3131,3133,3135,3137,3139,3142,3144,3147,3150,3152,3154,3156,3159,3161,3163,3165,3167,3170,3172,3174,3177,3179],{},[592,3132,1731],{},[815,3134,1741],{"stretchy":1740},[592,3136,1457],{},[815,3138,3034],{},[641,3140,3141],{},"36",[815,3143,1755],{"stretchy":1740},[815,3145,3146],{},"≈",[641,3148,3149],{},"0,0540",[815,3151,1299],{},[641,3153,3043],{},[815,3155,2368],{"separator":602},[1018,3157],{"width":3158},"2em",[592,3160,1731],{},[815,3162,1741],{"stretchy":1740},[592,3164,1457],{},[815,3166,3034],{},[641,3168,3169],{},"37",[815,3171,1755],{"stretchy":1740},[815,3173,3146],{},[641,3175,3176],{},"0,0280",[815,3178,1114],{},[641,3180,3043],{},[595,3182,3183],{"encoding":597},"P(X \\geq 36) \\approx 0{,}0540 > 0{,}05, \\qquad P(X \\geq 37) \\approx 0{,}0280 \\leq 0{,}05",[573,3185,3187,3211,3232,3260,3306,3327,3355],{"className":3186,"ariaHidden":602},[601],[573,3188,3190,3193,3196,3199,3202,3205,3208],{"className":3189},[606],[573,3191],{"className":3192,"style":2788},[610],[573,3194,1731],{"className":3195,"style":1779},[615,616],[573,3197,1741],{"className":3198},[1866],[573,3200,1457],{"className":3201,"style":1473},[615,616],[573,3203],{"className":3204,"style":1210},[1018],[573,3206,3034],{"className":3207},[1199],[573,3209],{"className":3210,"style":1210},[1018],[573,3212,3214,3217,3220,3223,3226,3229],{"className":3213},[606],[573,3215],{"className":3216,"style":2788},[610],[573,3218,3141],{"className":3219},[615],[573,3221,1755],{"className":3222},[1920],[573,3224],{"className":3225,"style":1210},[1018],[573,3227,3146],{"className":3228},[1199],[573,3230],{"className":3231,"style":1210},[1018],[573,3233,3235,3238,3241,3247,3251,3254,3257],{"className":3234},[606],[573,3236],{"className":3237,"style":2358},[610],[573,3239,643],{"className":3240},[615],[573,3242,3244],{"className":3243},[615],[573,3245,2368],{"className":3246},[1185],[573,3248,3250],{"className":3249},[615],"0540",[573,3252],{"className":3253,"style":1210},[1018],[573,3255,1299],{"className":3256},[1199],[573,3258],{"className":3259,"style":1210},[1018],[573,3261,3263,3266,3269,3275,3278,3281,3285,3288,3291,3294,3297,3300,3303],{"className":3262},[606],[573,3264],{"className":3265,"style":2788},[610],[573,3267,643],{"className":3268},[615],[573,3270,3272],{"className":3271},[615],[573,3273,2368],{"className":3274},[1185],[573,3276,3113],{"className":3277},[615],[573,3279,2368],{"className":3280},[1185],[573,3282],{"className":3283,"style":3284},[1018],"margin-right:2em;",[573,3286],{"className":3287,"style":1019},[1018],[573,3289,1731],{"className":3290,"style":1779},[615,616],[573,3292,1741],{"className":3293},[1866],[573,3295,1457],{"className":3296,"style":1473},[615,616],[573,3298],{"className":3299,"style":1210},[1018],[573,3301,3034],{"className":3302},[1199],[573,3304],{"className":3305,"style":1210},[1018],[573,3307,3309,3312,3315,3318,3321,3324],{"className":3308},[606],[573,3310],{"className":3311,"style":2788},[610],[573,3313,3169],{"className":3314},[615],[573,3316,1755],{"className":3317},[1920],[573,3319],{"className":3320,"style":1210},[1018],[573,3322,3146],{"className":3323},[1199],[573,3325],{"className":3326,"style":1210},[1018],[573,3328,3330,3333,3336,3342,3346,3349,3352],{"className":3329},[606],[573,3331],{"className":3332,"style":2358},[610],[573,3334,643],{"className":3335},[615],[573,3337,3339],{"className":3338},[615],[573,3340,2368],{"className":3341},[1185],[573,3343,3345],{"className":3344},[615],"0280",[573,3347],{"className":3348,"style":1210},[1018],[573,3350,1114],{"className":3351},[1199],[573,3353],{"className":3354,"style":1210},[1018],[573,3356,3358,3361,3364,3370],{"className":3357},[606],[573,3359],{"className":3360,"style":2358},[610],[573,3362,643],{"className":3363},[615],[573,3365,3367],{"className":3366},[615],[573,3368,2368],{"className":3369},[1185],[573,3371,3113],{"className":3372},[615],[565,3374,3375,3376,3404,3405,3433,3434,3503,3504,789],{},"Entscheidungsregel: Wirkt das Mittel bei mindestens ",[573,3377,3379,3392],{"className":3378},[576],[573,3380,3382],{"className":3381},[580],[582,3383,3384],{"xmlns":584},[586,3385,3386,3390],{},[589,3387,3388],{},[641,3389,3169],{},[595,3391,3169],{"encoding":597},[573,3393,3395],{"className":3394,"ariaHidden":602},[601],[573,3396,3398,3401],{"className":3397},[606],[573,3399],{"className":3400,"style":2187},[610],[573,3402,3169],{"className":3403},[615]," von ",[573,3406,3408,3421],{"className":3407},[576],[573,3409,3411],{"className":3410},[580],[582,3412,3413],{"xmlns":584},[586,3414,3415,3419],{},[589,3416,3417],{},[641,3418,2156],{},[595,3420,2156],{"encoding":597},[573,3422,3424],{"className":3423,"ariaHidden":602},[601],[573,3425,3427,3430],{"className":3426},[606],[573,3428],{"className":3429,"style":2187},[610],[573,3431,2156],{"className":3432},[615]," Personen, wird ",[573,3435,3437,3454],{"className":3436},[576],[573,3438,3440],{"className":3439},[580],[582,3441,3442],{"xmlns":584},[586,3443,3444,3452],{},[589,3445,3446],{},[635,3447,3448,3450],{},[592,3449,639],{},[641,3451,643],{},[595,3453,646],{"encoding":597},[573,3455,3457],{"className":3456,"ariaHidden":602},[601],[573,3458,3460,3463],{"className":3459},[606],[573,3461],{"className":3462,"style":656},[610],[573,3464,3466,3469],{"className":3465},[615],[573,3467,639],{"className":3468,"style":663},[615,616],[573,3470,3472],{"className":3471},[667],[573,3473,3475,3495],{"className":3474},[671,672],[573,3476,3478,3492],{"className":3477},[676],[573,3479,3481],{"className":3480,"style":681},[680],[573,3482,3483,3486],{"style":684},[573,3484],{"className":3485,"style":689},[688],[573,3487,3489],{"className":3488},[693,694,695,696],[573,3490,643],{"className":3491},[615,696],[573,3493,704],{"className":3494},[703],[573,3496,3498],{"className":3497},[676],[573,3499,3501],{"className":3500,"style":711},[680],[573,3502],{}," verworfen, und man geht von einer besseren Wirkung aus. Die Irrtumswahrscheinlichkeit beträgt dabei höchstens ",[573,3505,3507,3526],{"className":3506},[576],[573,3508,3510],{"className":3509},[580],[582,3511,3512],{"xmlns":584},[586,3513,3514,3523],{},[589,3515,3516,3519,3521],{},[641,3517,3518],{},"2,8",[992,3520,994],{},[592,3522,998],{"mathvariant":997},[595,3524,3525],{"encoding":597},"2{,}8\\,\\%",[573,3527,3529],{"className":3528,"ariaHidden":602},[601],[573,3530,3532,3536,3540,3546,3550,3553],{"className":3531},[606],[573,3533],{"className":3534,"style":3535},[610],"height:0.9444em;vertical-align:-0.1944em;",[573,3537,3539],{"className":3538},[615],"2",[573,3541,3543],{"className":3542},[615],[573,3544,2368],{"className":3545},[1185],[573,3547,3549],{"className":3548},[615],"8",[573,3551],{"className":3552,"style":1019},[1018],[573,3554,998],{"className":3555},[615],[560,3557,3559],{"id":3558},"typische-fehler","Typische Fehler",[2222,3561,3562,3705,3708,3955],{},[1071,3563,3564,3565,3634,3635,3704],{},"Die Hypothesen vertauschen. Was man nachweisen möchte, gehört in ",[573,3566,3568,3585],{"className":3567},[576],[573,3569,3571],{"className":3570},[580],[582,3572,3573],{"xmlns":584},[586,3574,3575,3583],{},[589,3576,3577],{},[635,3578,3579,3581],{},[592,3580,639],{},[641,3582,736],{},[595,3584,739],{"encoding":597},[573,3586,3588],{"className":3587,"ariaHidden":602},[601],[573,3589,3591,3594],{"className":3590},[606],[573,3592],{"className":3593,"style":656},[610],[573,3595,3597,3600],{"className":3596},[615],[573,3598,639],{"className":3599,"style":663},[615,616],[573,3601,3603],{"className":3602},[667],[573,3604,3606,3626],{"className":3605},[671,672],[573,3607,3609,3623],{"className":3608},[676],[573,3610,3612],{"className":3611,"style":681},[680],[573,3613,3614,3617],{"style":684},[573,3615],{"className":3616,"style":689},[688],[573,3618,3620],{"className":3619},[693,694,695,696],[573,3621,736],{"className":3622},[615,696],[573,3624,704],{"className":3625},[703],[573,3627,3629],{"className":3628},[676],[573,3630,3632],{"className":3631,"style":711},[680],[573,3633],{},", denn nur das Verwerfen von ",[573,3636,3638,3655],{"className":3637},[576],[573,3639,3641],{"className":3640},[580],[582,3642,3643],{"xmlns":584},[586,3644,3645,3653],{},[589,3646,3647],{},[635,3648,3649,3651],{},[592,3650,639],{},[641,3652,643],{},[595,3654,646],{"encoding":597},[573,3656,3658],{"className":3657,"ariaHidden":602},[601],[573,3659,3661,3664],{"className":3660},[606],[573,3662],{"className":3663,"style":656},[610],[573,3665,3667,3670],{"className":3666},[615],[573,3668,639],{"className":3669,"style":663},[615,616],[573,3671,3673],{"className":3672},[667],[573,3674,3676,3696],{"className":3675},[671,672],[573,3677,3679,3693],{"className":3678},[676],[573,3680,3682],{"className":3681,"style":681},[680],[573,3683,3684,3687],{"style":684},[573,3685],{"className":3686,"style":689},[688],[573,3688,3690],{"className":3689},[693,694,695,696],[573,3691,643],{"className":3692},[615,696],[573,3694,704],{"className":3695},[703],[573,3697,3699],{"className":3698},[676],[573,3700,3702],{"className":3701,"style":711},[680],[573,3703],{}," ist eine abgesicherte Aussage.",[1071,3706,3707],{},"Den Ablehnungsbereich erst nach dem Blick auf die Daten festlegen. Dann stimmt das Signifikanzniveau nicht mehr.",[1071,3709,3710,3013,3776,3866,3867,789],{},[573,3711,3713,3737],{"className":3712},[576],[573,3714,3716],{"className":3715},[580],[582,3717,3718],{"xmlns":584},[586,3719,3720,3734],{},[589,3721,3722,3724,3726,3728,3730,3732],{},[592,3723,1731],{},[815,3725,1741],{"stretchy":1740},[592,3727,1457],{},[815,3729,3034],{},[641,3731,3169],{},[815,3733,1755],{"stretchy":1740},[595,3735,3736],{"encoding":597},"P(X \\geq 37)",[573,3738,3740,3764],{"className":3739,"ariaHidden":602},[601],[573,3741,3743,3746,3749,3752,3755,3758,3761],{"className":3742},[606],[573,3744],{"className":3745,"style":2788},[610],[573,3747,1731],{"className":3748,"style":1779},[615,616],[573,3750,1741],{"className":3751},[1866],[573,3753,1457],{"className":3754,"style":1473},[615,616],[573,3756],{"className":3757,"style":1210},[1018],[573,3759,3034],{"className":3760},[1199],[573,3762],{"className":3763,"style":1210},[1018],[573,3765,3767,3770,3773],{"className":3766},[606],[573,3768],{"className":3769,"style":2788},[610],[573,3771,3169],{"className":3772},[615],[573,3774,1755],{"className":3775},[1920],[573,3777,3779,3808],{"className":3778},[576],[573,3780,3782],{"className":3781},[580],[582,3783,3784],{"xmlns":584},[586,3785,3786,3805],{},[589,3787,3788,3790,3793,3795,3797,3799,3801,3803],{},[641,3789,736],{},[815,3791,3792],{},"−",[592,3794,1731],{},[815,3796,1741],{"stretchy":1740},[592,3798,1457],{},[815,3800,1114],{},[641,3802,3169],{},[815,3804,1755],{"stretchy":1740},[595,3806,3807],{"encoding":597},"1 - P(X \\leq 37)",[573,3809,3811,3830,3854],{"className":3810,"ariaHidden":602},[601],[573,3812,3814,3818,3821,3824,3827],{"className":3813},[606],[573,3815],{"className":3816,"style":3817},[610],"height:0.7278em;vertical-align:-0.0833em;",[573,3819,736],{"className":3820},[615],[573,3822],{"className":3823,"style":2936},[1018],[573,3825,3792],{"className":3826},[2940],[573,3828],{"className":3829,"style":2936},[1018],[573,3831,3833,3836,3839,3842,3845,3848,3851],{"className":3832},[606],[573,3834],{"className":3835,"style":2788},[610],[573,3837,1731],{"className":3838,"style":1779},[615,616],[573,3840,1741],{"className":3841},[1866],[573,3843,1457],{"className":3844,"style":1473},[615,616],[573,3846],{"className":3847,"style":1210},[1018],[573,3849,1114],{"className":3850},[1199],[573,3852],{"className":3853,"style":1210},[1018],[573,3855,3857,3860,3863],{"className":3856},[606],[573,3858],{"className":3859,"style":2788},[610],[573,3861,3169],{"className":3862},[615],[573,3864,1755],{"className":3865},[1920]," berechnen. Richtig ist ",[573,3868,3870,3898],{"className":3869},[576],[573,3871,3873],{"className":3872},[580],[582,3874,3875],{"xmlns":584},[586,3876,3877,3895],{},[589,3878,3879,3881,3883,3885,3887,3889,3891,3893],{},[641,3880,736],{},[815,3882,3792],{},[592,3884,1731],{},[815,3886,1741],{"stretchy":1740},[592,3888,1457],{},[815,3890,1114],{},[641,3892,3141],{},[815,3894,1755],{"stretchy":1740},[595,3896,3897],{"encoding":597},"1 - P(X \\leq 36)",[573,3899,3901,3919,3943],{"className":3900,"ariaHidden":602},[601],[573,3902,3904,3907,3910,3913,3916],{"className":3903},[606],[573,3905],{"className":3906,"style":3817},[610],[573,3908,736],{"className":3909},[615],[573,3911],{"className":3912,"style":2936},[1018],[573,3914,3792],{"className":3915},[2940],[573,3917],{"className":3918,"style":2936},[1018],[573,3920,3922,3925,3928,3931,3934,3937,3940],{"className":3921},[606],[573,3923],{"className":3924,"style":2788},[610],[573,3926,1731],{"className":3927,"style":1779},[615,616],[573,3929,1741],{"className":3930},[1866],[573,3932,1457],{"className":3933,"style":1473},[615,616],[573,3935],{"className":3936,"style":1210},[1018],[573,3938,1114],{"className":3939},[1199],[573,3941],{"className":3942,"style":1210},[1018],[573,3944,3946,3949,3952],{"className":3945},[606],[573,3947],{"className":3948,"style":2788},[610],[573,3950,3141],{"className":3951},[615],[573,3953,1755],{"className":3954},[1920],[1071,3956,3957,3958,4027],{},"Das Nicht-Verwerfen als Beweis für ",[573,3959,3961,3978],{"className":3960},[576],[573,3962,3964],{"className":3963},[580],[582,3965,3966],{"xmlns":584},[586,3967,3968,3976],{},[589,3969,3970],{},[635,3971,3972,3974],{},[592,3973,639],{},[641,3975,643],{},[595,3977,646],{"encoding":597},[573,3979,3981],{"className":3980,"ariaHidden":602},[601],[573,3982,3984,3987],{"className":3983},[606],[573,3985],{"className":3986,"style":656},[610],[573,3988,3990,3993],{"className":3989},[615],[573,3991,639],{"className":3992,"style":663},[615,616],[573,3994,3996],{"className":3995},[667],[573,3997,3999,4019],{"className":3998},[671,672],[573,4000,4002,4016],{"className":4001},[676],[573,4003,4005],{"className":4004,"style":681},[680],[573,4006,4007,4010],{"style":684},[573,4008],{"className":4009,"style":689},[688],[573,4011,4013],{"className":4012},[693,694,695,696],[573,4014,643],{"className":4015},[615,696],[573,4017,704],{"className":4018},[703],[573,4020,4022],{"className":4021},[676],[573,4023,4025],{"className":4024,"style":711},[680],[573,4026],{}," deuten. Es heißt nur, dass die Daten nicht deutlich genug dagegen sprechen.",{"title":4029,"searchDepth":4030,"depth":4030,"links":4031},"",2,[4032,4033,4034],{"id":562,"depth":4030,"text":563},{"id":2092,"depth":4030,"text":2093},{"id":3558,"depth":4030,"text":3559},[4036,4038,4041,4044],{"lhs":4037,"rhs":2917},"50 * 0.6",{"lhs":4039,"rhs":4040},"round(1 - sum(map(0:35, f(k) = combinations(50, k) * 0.6^k * 0.4^(50 - k))), 4)","0.054",{"lhs":4042,"rhs":4043},"round(1 - sum(map(0:36, f(k) = combinations(50, k) * 0.6^k * 0.4^(50 - k))), 4)","0.028",{"lhs":4045,"rhs":4043},"round(sum(map(37:50, f(k) = combinations(50, k) * 0.6^k * 0.4^(50 - k))), 4)","X \\text{ unter } H_0 \\text{ binomialverteilt mit } n \\text{ und } p_0,\\ 0 \u003C \\alpha \u003C 1","\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\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>0\u003C\u002Fmn>\u003Cmo><\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo><\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0 < \\alpha < 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:0.6835em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\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\"><\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","hypothesis-test","\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>\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>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_{p_0}(X \\in \\overline{A}) \\leq \\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: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:1.1333em;vertical-align:-0.25em;\">\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=\"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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fhypothesentest",[],[4058,4059,4060,4061],"binomial-distribution","rejection-region","type-errors","cumulative-binomial",{"title":548,"description":4029},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fhypothesentest","Ein Hypothesentest verwirft H₀, wenn das Ergebnis in einem Bereich liegt, der unter H₀ höchstens mit Wahrscheinlichkeit α vorkommt.",[4066,4067,4068,4069,4070],"nullhypothese","signifikanzniveau","testen","binomialverteilung","entscheidungsregel",[4072,4075,4079,4082,4085,4088,4091],{"symbol":646,"meaning":4073,"symbolHtml":4074},"Nullhypothese, die Annahme über die Trefferwahrscheinlichkeit, die geprüft wird","\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>",{"symbol":4076,"meaning":4077,"symbolHtml":4078},"p_0","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 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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1457,"meaning":4080,"symbolHtml":4081},"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":1489,"meaning":4083,"symbolHtml":4084},"Stichprobenumfang","\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>",{"symbol":820,"meaning":4086,"symbolHtml":4087},"Ablehnungsbereich, die Werte von X, bei denen man H₀ verwirft","\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":956,"meaning":4089,"symbolHtml":4090},"Signifikanzniveau, die höchstens erlaubte Irrtumswahrscheinlichkeit","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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":4092,"meaning":4093,"symbolHtml":4094},"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 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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","0AsAwjDou4STOlQabvPdl0fIR6LEpTRAl_MGkQfbE5o",[4097,4100,4103,4106],{"stem":4098,"title":4099,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fablehnungsbereich","Ablehnungsbereich bei der 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Art",{"stem":4107,"title":4108,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkumulierte-binomialverteilung","Kumulierte Binomialverteilung",1793824285880]