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Die Formel beruht auf der Näherung durch die Normalverteilung und ist nur brauchbar, wenn ",[569,1171,1173,1213],{"className":1172},[572],[569,1174,1176],{"className":1175},[576],[578,1177,1178],{"xmlns":580},[582,1179,1180,1210],{},[585,1181,1182,1184,1187,1189,1191,1195,1197,1200,1202,1204,1207],{},[588,1183,633],{},[772,1185,1186],{},"⋅",[588,1188,664],{},[772,1190,1186],{},[772,1192,1194],{"stretchy":1193},"false","(",[776,1196,816],{},[772,1198,1199],{},"−",[588,1201,664],{},[772,1203,917],{"stretchy":1193},[772,1205,1206],{},">",[776,1208,1209],{},"9",[591,1211,1212],{"encoding":593},"n \\cdot h \\cdot (1-h) > 9",[569,1214,1216,1237,1255,1278,1300],{"className":1215,"ariaHidden":598},[597],[569,1217,1219,1223,1226,1230,1234],{"className":1218},[602],[569,1220],{"className":1221,"style":1222},[606],"height:0.4445em;",[569,1224,633],{"className":1225},[611,612],[569,1227],{"className":1228,"style":1229},[797],"margin-right:0.2222em;",[569,1231,1186],{"className":1232},[1233],"mbin",[569,1235],{"className":1236,"style":1229},[797],[569,1238,1240,1243,1246,1249,1252],{"className":1239},[602],[569,1241],{"className":1242,"style":676},[606],[569,1244,664],{"className":1245},[611,612],[569,1247],{"className":1248,"style":1229},[797],[569,1250,1186],{"className":1251},[1233],[569,1253],{"className":1254,"style":1229},[797],[569,1256,1258,1262,1266,1269,1272,1275],{"className":1257},[602],[569,1259],{"className":1260,"style":1261},[606],"height:1em;vertical-align:-0.25em;",[569,1263,1194],{"className":1264},[1265],"mopen",[569,1267,816],{"className":1268},[611],[569,1270],{"className":1271,"style":1229},[797],[569,1273,1199],{"className":1274},[1233],[569,1276],{"className":1277,"style":1229},[797],[569,1279,1281,1284,1287,1291,1294,1297],{"className":1280},[602],[569,1282],{"className":1283,"style":1261},[606],[569,1285,664],{"className":1286},[611,612],[569,1288,917],{"className":1289},[1290],"mclose",[569,1292],{"className":1293,"style":798},[797],[569,1295,1206],{"className":1296},[802],[569,1298],{"className":1299,"style":798},[797],[569,1301,1303,1307],{"className":1302},[602],[569,1304],{"className":1305,"style":1306},[606],"height:0.6444em;",[569,1308,1209],{"className":1309},[611]," gilt (Laplace-Bedingung ",[569,1312,1314,1334],{"className":1313},[572],[569,1315,1317],{"className":1316},[576],[578,1318,1319],{"xmlns":580},[582,1320,1321,1331],{},[585,1322,1323,1326,1328],{},[588,1324,1325],{},"σ",[772,1327,1206],{},[776,1329,1330],{},"3",[591,1332,1333],{"encoding":593},"\\sigma > 3",[569,1335,1337,1357],{"className":1336,"ariaHidden":598},[597],[569,1338,1340,1344,1348,1351,1354],{"className":1339},[602],[569,1341],{"className":1342,"style":1343},[606],"height:0.5782em;vertical-align:-0.0391em;",[569,1345,1325],{"className":1346,"style":1347},[611,612],"margin-right:0.0359em;",[569,1349],{"className":1350,"style":798},[797],[569,1352,1206],{"className":1353},[802],[569,1355],{"className":1356,"style":798},[797],[569,1358,1360,1363],{"className":1359},[602],[569,1361],{"className":1362,"style":1306},[606],[569,1364,1330],{"className":1365},[611],").",[565,1368,1369,1370,1408,1409,1437,1438,1466],{},"Das Konfidenzniveau bezieht sich auf das Verfahren, nicht auf das eine berechnete Intervall: Bei häufiger Wiederholung überdeckt es in etwa ",[569,1371,1373,1390],{"className":1372},[572],[569,1374,1376],{"className":1375},[576],[578,1377,1378],{"xmlns":580},[582,1379,1380,1388],{},[585,1381,1382,1384,1386],{},[776,1383,996],{},[846,1385,848],{},[588,1387,852],{"mathvariant":851},[591,1389,1003],{"encoding":593},[569,1391,1393],{"className":1392,"ariaHidden":598},[597],[569,1394,1396,1399,1402,1405],{"className":1395},[602],[569,1397],{"className":1398,"style":865},[606],[569,1400,996],{"className":1401},[611],[569,1403],{"className":1404,"style":872},[797],[569,1406,852],{"className":1407},[611]," der Fälle den wahren Anteil ",[569,1410,1412,1425],{"className":1411},[572],[569,1413,1415],{"className":1414},[576],[578,1416,1417],{"xmlns":580},[582,1418,1419,1423],{},[585,1420,1421],{},[588,1422,565],{},[591,1424,565],{"encoding":593},[569,1426,1428],{"className":1427,"ariaHidden":598},[597],[569,1429,1431,1434],{"className":1430},[602],[569,1432],{"className":1433,"style":607},[606],[569,1435,565],{"className":1436},[611,612],". Ob ",[569,1439,1441,1454],{"className":1440},[572],[569,1442,1444],{"className":1443},[576],[578,1445,1446],{"xmlns":580},[582,1447,1448,1452],{},[585,1449,1450],{},[588,1451,565],{},[591,1453,565],{"encoding":593},[569,1455,1457],{"className":1456,"ariaHidden":598},[597],[569,1458,1460,1463],{"className":1459},[602],[569,1461],{"className":1462,"style":607},[606],[569,1464,565],{"className":1465},[611,612]," in genau diesem Intervall liegt, ist entweder wahr oder falsch.",[565,1468,1469,1470,1654],{},"Die Breite schrumpft mit ",[569,1471,1473,1495],{"className":1472},[572],[569,1474,1476],{"className":1475},[576],[578,1477,1478],{"xmlns":580},[582,1479,1480,1492],{},[585,1481,1482],{},[1483,1484,1485,1487],"mfrac",{},[776,1486,816],{},[1488,1489,1490],"msqrt",{},[588,1491,633],{},[591,1493,1494],{"encoding":593},"\\frac{1}{\\sqrt{n}}",[569,1496,1498],{"className":1497,"ariaHidden":598},[597],[569,1499,1501,1505],{"className":1500},[602],[569,1502],{"className":1503,"style":1504},[606],"height:1.3831em;vertical-align:-0.538em;",[569,1506,1508,1512,1651],{"className":1507},[611],[569,1509],{"className":1510},[1265,1511],"nulldelimiter",[569,1513,1515],{"className":1514},[1483],[569,1516,1520,1642],{"className":1517},[1518,1519],"vlist-t","vlist-t2",[569,1521,1524,1639],{"className":1522},[1523],"vlist-r",[569,1525,1529,1613,1624],{"className":1526,"style":1528},[1527],"vlist","height:0.8451em;",[569,1530,1532,1537],{"style":1531},"top:-2.6259em;",[569,1533],{"className":1534,"style":1536},[1535],"pstrut","height:3em;",[569,1538,1544],{"className":1539},[1540,1541,1542,1543],"sizing","reset-size6","size3","mtight",[569,1545,1547],{"className":1546},[611,1543],[569,1548,1551],{"className":1549},[611,1550,1543],"sqrt",[569,1552,1554,1604],{"className":1553},[1518,1519],[569,1555,1557,1599],{"className":1556},[1523],[569,1558,1561,1576],{"className":1559,"style":1560},[1527],"height:0.8059em;",[569,1562,1566,1569],{"className":1563,"style":1565},[1564],"svg-align","top:-3em;",[569,1567],{"className":1568,"style":1536},[1535],[569,1570,1573],{"className":1571,"style":1572},[611,1543],"padding-left:0.833em;",[569,1574,633],{"className":1575},[611,612,1543],[569,1577,1579,1582],{"style":1578},"top:-2.7659em;",[569,1580],{"className":1581,"style":1536},[1535],[569,1583,1587],{"className":1584,"style":1586},[1585,1543],"hide-tail","min-width:0.853em;height:1.08em;",[1588,1589,1595],"svg",{"xmlns":1590,"width":1591,"height":1592,"viewBox":1593,"preserveAspectRatio":1594},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[1596,1597],"path",{"d":1598},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[569,1600,1603],{"className":1601},[1602],"vlist-s","​",[569,1605,1607],{"className":1606},[1523],[569,1608,1611],{"className":1609,"style":1610},[1527],"height:0.2341em;",[569,1612],{},[569,1614,1616,1619],{"style":1615},"top:-3.23em;",[569,1617],{"className":1618,"style":1536},[1535],[569,1620],{"className":1621,"style":1623},[1622],"frac-line","border-bottom-width:0.04em;",[569,1625,1627,1630],{"style":1626},"top:-3.394em;",[569,1628],{"className":1629,"style":1536},[1535],[569,1631,1633],{"className":1632},[1540,1541,1542,1543],[569,1634,1636],{"className":1635},[611,1543],[569,1637,816],{"className":1638},[611,1543],[569,1640,1603],{"className":1641},[1602],[569,1643,1645],{"className":1644},[1523],[569,1646,1649],{"className":1647,"style":1648},[1527],"height:0.538em;",[569,1650],{},[569,1652],{"className":1653},[1290,1511],": Für ein halb so breites Intervall braucht man die vierfache Stichprobe.",[565,1656,1657,1658,1905,1906,1934,1935,1963],{},"Hinweis: Manche Lehrbücher bestimmen die Grenzen genauer, indem sie die Ungleichung ",[569,1659,1661,1709],{"className":1660},[572],[569,1662,1664],{"className":1663},[576],[578,1665,1666],{"xmlns":580},[582,1667,1668,1706],{},[585,1669,1670,1673,1675,1677,1679,1681,1684,1686],{},[588,1671,1672],{"mathvariant":851},"∣",[588,1674,664],{},[772,1676,1199],{},[588,1678,565],{},[588,1680,1672],{"mathvariant":851},[772,1682,1683],{},"≤",[588,1685,730],{},[1488,1687,1688],{},[1483,1689,1690,1704],{},[585,1691,1692,1694,1696,1698,1700,1702],{},[588,1693,565],{},[772,1695,1194],{"stretchy":1193},[776,1697,816],{},[772,1699,1199],{},[588,1701,565],{},[772,1703,917],{"stretchy":1193},[588,1705,633],{},[591,1707,1708],{"encoding":593},"|h - p| \\leq z\\sqrt{\\frac{p(1-p)}{n}}",[569,1710,1712,1733,1754],{"className":1711,"ariaHidden":598},[597],[569,1713,1715,1718,1721,1724,1727,1730],{"className":1714},[602],[569,1716],{"className":1717,"style":1261},[606],[569,1719,1672],{"className":1720},[611],[569,1722,664],{"className":1723},[611,612],[569,1725],{"className":1726,"style":1229},[797],[569,1728,1199],{"className":1729},[1233],[569,1731],{"className":1732,"style":1229},[797],[569,1734,1736,1739,1742,1745,1748,1751],{"className":1735},[602],[569,1737],{"className":1738,"style":1261},[606],[569,1740,565],{"className":1741},[611,612],[569,1743,1672],{"className":1744},[611],[569,1746],{"className":1747,"style":798},[797],[569,1749,1683],{"className":1750},[802],[569,1752],{"className":1753,"style":798},[797],[569,1755,1757,1761,1764],{"className":1756},[602],[569,1758],{"className":1759,"style":1760},[606],"height:1.84em;vertical-align:-0.5225em;",[569,1762,730],{"className":1763,"style":745},[611,612],[569,1765,1767],{"className":1766},[611,1550],[569,1768,1770,1896],{"className":1769},[1518,1519],[569,1771,1773,1893],{"className":1772},[1523],[569,1774,1777,1876],{"className":1775,"style":1776},[1527],"height:1.3175em;",[569,1778,1781,1785],{"className":1779,"style":1780},[1564],"top:-3.8em;",[569,1782],{"className":1783,"style":1784},[1535],"height:3.8em;",[569,1786,1789],{"className":1787,"style":1788},[611],"padding-left:1em;",[569,1790,1792,1795,1873],{"className":1791},[611],[569,1793],{"className":1794},[1265,1511],[569,1796,1798],{"className":1797},[1483],[569,1799,1801,1864],{"className":1800},[1518,1519],[569,1802,1804,1861],{"className":1803},[1523],[569,1805,1808,1823,1831],{"className":1806,"style":1807},[1527],"height:1.01em;",[569,1809,1811,1814],{"style":1810},"top:-2.655em;",[569,1812],{"className":1813,"style":1536},[1535],[569,1815,1817],{"className":1816},[1540,1541,1542,1543],[569,1818,1820],{"className":1819},[611,1543],[569,1821,633],{"className":1822},[611,612,1543],[569,1824,1825,1828],{"style":1615},[569,1826],{"className":1827,"style":1536},[1535],[569,1829],{"className":1830,"style":1623},[1622],[569,1832,1834,1837],{"style":1833},"top:-3.485em;",[569,1835],{"className":1836,"style":1536},[1535],[569,1838,1840],{"className":1839},[1540,1541,1542,1543],[569,1841,1843,1846,1849,1852,1855,1858],{"className":1842},[611,1543],[569,1844,565],{"className":1845},[611,612,1543],[569,1847,1194],{"className":1848},[1265,1543],[569,1850,816],{"className":1851},[611,1543],[569,1853,1199],{"className":1854},[1233,1543],[569,1856,565],{"className":1857},[611,612,1543],[569,1859,917],{"className":1860},[1290,1543],[569,1862,1603],{"className":1863},[1602],[569,1865,1867],{"className":1866},[1523],[569,1868,1871],{"className":1869,"style":1870},[1527],"height:0.345em;",[569,1872],{},[569,1874],{"className":1875},[1290,1511],[569,1877,1879,1882],{"style":1878},"top:-3.2775em;",[569,1880],{"className":1881,"style":1784},[1535],[569,1883,1886],{"className":1884,"style":1885},[1585],"min-width:1.02em;height:1.88em;",[1588,1887,1890],{"xmlns":1590,"width":1591,"height":1888,"viewBox":1889,"preserveAspectRatio":1594},"1.88em","0 0 400000 1944",[1596,1891],{"d":1892},"M983 90\nl0 -0\nc4,-6.7,10,-10,18,-10 H400000v40\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM1001 80h400000v40h-400000z",[569,1894,1603],{"className":1895},[1602],[569,1897,1899],{"className":1898},[1523],[569,1900,1903],{"className":1901,"style":1902},[1527],"height:0.5225em;",[569,1904],{}," nach ",[569,1907,1909,1922],{"className":1908},[572],[569,1910,1912],{"className":1911},[576],[578,1913,1914],{"xmlns":580},[582,1915,1916,1920],{},[585,1917,1918],{},[588,1919,565],{},[591,1921,565],{"encoding":593},[569,1923,1925],{"className":1924,"ariaHidden":598},[597],[569,1926,1928,1931],{"className":1927},[602],[569,1929],{"className":1930,"style":607},[606],[569,1932,565],{"className":1933},[611,612]," auflösen. Bei großem ",[569,1936,1938,1951],{"className":1937},[572],[569,1939,1941],{"className":1940},[576],[578,1942,1943],{"xmlns":580},[582,1944,1945,1949],{},[585,1946,1947],{},[588,1948,633],{},[591,1950,633],{"encoding":593},[569,1952,1954],{"className":1953,"ariaHidden":598},[597],[569,1955,1957,1960],{"className":1956},[602],[569,1958],{"className":1959,"style":645},[606],[569,1961,633],{"className":1962},[611,612]," unterscheiden sich beide Ergebnisse kaum.",[560,1965,1967],{"id":1966},"beispiele","Beispiele",[565,1969,1970,1971,2023,2024,2053,2054,2117,2118,2266,2267,2305],{},"Bei einer Umfrage unter ",[569,1972,1974,1993],{"className":1973},[572],[569,1975,1977],{"className":1976},[576],[578,1978,1979],{"xmlns":580},[582,1980,1981,1990],{},[585,1982,1983,1985,1987],{},[588,1984,633],{},[772,1986,774],{},[776,1988,1989],{},"1000",[591,1991,1992],{"encoding":593},"n = 1000",[569,1994,1996,2014],{"className":1995,"ariaHidden":598},[597],[569,1997,1999,2002,2005,2008,2011],{"className":1998},[602],[569,2000],{"className":2001,"style":645},[606],[569,2003,633],{"className":2004},[611,612],[569,2006],{"className":2007,"style":798},[797],[569,2009,774],{"className":2010},[802],[569,2012],{"className":2013,"style":798},[797],[569,2015,2017,2020],{"className":2016},[602],[569,2018],{"className":2019,"style":1306},[606],[569,2021,1989],{"className":2022},[611]," Personen sind ",[569,2025,2027,2041],{"className":2026},[572],[569,2028,2030],{"className":2029},[576],[578,2031,2032],{"xmlns":580},[582,2033,2034,2039],{},[585,2035,2036],{},[776,2037,2038],{},"420",[591,2040,2038],{"encoding":593},[569,2042,2044],{"className":2043,"ariaHidden":598},[597],[569,2045,2047,2050],{"className":2046},[602],[569,2048],{"className":2049,"style":1306},[606],[569,2051,2038],{"className":2052},[611]," für einen Vorschlag, also ",[569,2055,2057,2076],{"className":2056},[572],[569,2058,2060],{"className":2059},[576],[578,2061,2062],{"xmlns":580},[582,2063,2064,2073],{},[585,2065,2066,2068,2070],{},[588,2067,664],{},[772,2069,774],{},[776,2071,2072],{},"0,42",[591,2074,2075],{"encoding":593},"h = 0{,}42",[569,2077,2079,2097],{"className":2078,"ariaHidden":598},[597],[569,2080,2082,2085,2088,2091,2094],{"className":2081},[602],[569,2083],{"className":2084,"style":676},[606],[569,2086,664],{"className":2087},[611,612],[569,2089],{"className":2090,"style":798},[797],[569,2092,774],{"className":2093},[802],[569,2095],{"className":2096,"style":798},[797],[569,2098,2100,2103,2107,2113],{"className":2099},[602],[569,2101],{"className":2102,"style":812},[606],[569,2104,2106],{"className":2105},[611],"0",[569,2108,2110],{"className":2109},[611],[569,2111,824],{"className":2112},[823],[569,2114,2116],{"className":2115},[611],"42",". Bedingung: ",[569,2119,2121,2153],{"className":2120},[572],[569,2122,2124],{"className":2123},[576],[578,2125,2126],{"xmlns":580},[582,2127,2128,2150],{},[585,2129,2130,2132,2134,2136,2138,2141,2143,2146,2148],{},[776,2131,1989],{},[772,2133,1186],{},[776,2135,2072],{},[772,2137,1186],{},[776,2139,2140],{},"0,58",[772,2142,774],{},[776,2144,2145],{},"243,6",[772,2147,1206],{},[776,2149,1209],{},[591,2151,2152],{"encoding":593},"1000 \\cdot 0{,}42 \\cdot 0{,}58 = 243{,}6 > 9",[569,2154,2156,2174,2201,2228,2257],{"className":2155,"ariaHidden":598},[597],[569,2157,2159,2162,2165,2168,2171],{"className":2158},[602],[569,2160],{"className":2161,"style":1306},[606],[569,2163,1989],{"className":2164},[611],[569,2166],{"className":2167,"style":1229},[797],[569,2169,1186],{"className":2170},[1233],[569,2172],{"className":2173,"style":1229},[797],[569,2175,2177,2180,2183,2189,2192,2195,2198],{"className":2176},[602],[569,2178],{"className":2179,"style":812},[606],[569,2181,2106],{"className":2182},[611],[569,2184,2186],{"className":2185},[611],[569,2187,824],{"className":2188},[823],[569,2190,2116],{"className":2191},[611],[569,2193],{"className":2194,"style":1229},[797],[569,2196,1186],{"className":2197},[1233],[569,2199],{"className":2200,"style":1229},[797],[569,2202,2204,2207,2210,2216,2219,2222,2225],{"className":2203},[602],[569,2205],{"className":2206,"style":812},[606],[569,2208,2106],{"className":2209},[611],[569,2211,2213],{"className":2212},[611],[569,2214,824],{"className":2215},[823],[569,2217,1086],{"className":2218},[611],[569,2220],{"className":2221,"style":798},[797],[569,2223,774],{"className":2224},[802],[569,2226],{"className":2227,"style":798},[797],[569,2229,2231,2234,2238,2244,2248,2251,2254],{"className":2230},[602],[569,2232],{"className":2233,"style":812},[606],[569,2235,2237],{"className":2236},[611],"243",[569,2239,2241],{"className":2240},[611],[569,2242,824],{"className":2243},[823],[569,2245,2247],{"className":2246},[611],"6",[569,2249],{"className":2250,"style":798},[797],[569,2252,1206],{"className":2253},[802],[569,2255],{"className":2256,"style":798},[797],[569,2258,2260,2263],{"className":2259},[602],[569,2261],{"className":2262,"style":1306},[606],[569,2264,1209],{"className":2265},[611],". Für ",[569,2268,2270,2287],{"className":2269},[572],[569,2271,2273],{"className":2272},[576],[578,2274,2275],{"xmlns":580},[582,2276,2277,2285],{},[585,2278,2279,2281,2283],{},[776,2280,996],{},[846,2282,848],{},[588,2284,852],{"mathvariant":851},[591,2286,1003],{"encoding":593},[569,2288,2290],{"className":2289,"ariaHidden":598},[597],[569,2291,2293,2296,2299,2302],{"className":2292},[602],[569,2294],{"className":2295,"style":865},[606],[569,2297,996],{"className":2298},[611],[569,2300],{"className":2301,"style":872},[797],[569,2303,852],{"className":2304},[611],":",[569,2307,2310],{"className":2308},[2309],"katex-display",[569,2311,2313,2359],{"className":2312},[572],[569,2314,2316],{"className":2315},[576],[578,2317,2319],{"xmlns":580,"display":2318},"block",[582,2320,2321,2356],{},[585,2322,2323,2325,2327,2341,2344,2346,2348,2351,2353],{},[776,2324,938],{},[772,2326,1186],{},[1488,2328,2329],{},[1483,2330,2331,2339],{},[585,2332,2333,2335,2337],{},[776,2334,2072],{},[772,2336,1186],{},[776,2338,2140],{},[776,2340,1989],{},[772,2342,2343],{},"≈",[776,2345,938],{},[772,2347,1186],{},[776,2349,2350],{},"0,0156",[772,2352,2343],{},[776,2354,2355],{},"0,031",[591,2357,2358],{"encoding":593},"1{,}96 \\cdot \\sqrt{\\frac{0{,}42 \\cdot 0{,}58}{1000}} \\approx 1{,}96 \\cdot 0{,}0156 \\approx 0{,}031",[569,2360,2362,2389,2554,2581,2609],{"className":2361,"ariaHidden":598},[597],[569,2363,2365,2368,2371,2377,2380,2383,2386],{"className":2364},[602],[569,2366],{"className":2367,"style":812},[606],[569,2369,816],{"className":2370},[611],[569,2372,2374],{"className":2373},[611],[569,2375,824],{"className":2376},[823],[569,2378,981],{"className":2379},[611],[569,2381],{"className":2382,"style":1229},[797],[569,2384,1186],{"className":2385},[1233],[569,2387],{"className":2388,"style":1229},[797],[569,2390,2392,2396,2545,2548,2551],{"className":2391},[602],[569,2393],{"className":2394,"style":2395},[606],"height:2.44em;vertical-align:-0.7884em;",[569,2397,2399],{"className":2398},[611,1550],[569,2400,2402,2536],{"className":2401},[1518,1519],[569,2403,2405,2533],{"className":2404},[1523],[569,2406,2409,2516],{"className":2407,"style":2408},[1527],"height:1.6516em;",[569,2410,2413,2417],{"className":2411,"style":2412},[1564],"top:-4.4em;",[569,2414],{"className":2415,"style":2416},[1535],"height:4.4em;",[569,2418,2420],{"className":2419,"style":1788},[611],[569,2421,2423,2426,2513],{"className":2422},[611],[569,2424],{"className":2425},[1265,1511],[569,2427,2429],{"className":2428},[1483],[569,2430,2432,2504],{"className":2431},[1518,1519],[569,2433,2435,2501],{"className":2434},[1523],[569,2436,2439,2451,2459],{"className":2437,"style":2438},[1527],"height:1.3214em;",[569,2440,2442,2445],{"style":2441},"top:-2.314em;",[569,2443],{"className":2444,"style":1536},[1535],[569,2446,2448],{"className":2447},[611],[569,2449,1989],{"className":2450},[611],[569,2452,2453,2456],{"style":1615},[569,2454],{"className":2455,"style":1536},[1535],[569,2457],{"className":2458,"style":1623},[1622],[569,2460,2462,2465],{"style":2461},"top:-3.677em;",[569,2463],{"className":2464,"style":1536},[1535],[569,2466,2468,2471,2477,2480,2483,2486,2489,2492,2498],{"className":2467},[611],[569,2469,2106],{"className":2470},[611],[569,2472,2474],{"className":2473},[611],[569,2475,824],{"className":2476},[823],[569,2478,2116],{"className":2479},[611],[569,2481],{"className":2482,"style":1229},[797],[569,2484,1186],{"className":2485},[1233],[569,2487],{"className":2488,"style":1229},[797],[569,2490,2106],{"className":2491},[611],[569,2493,2495],{"className":2494},[611],[569,2496,824],{"className":2497},[823],[569,2499,1086],{"className":2500},[611],[569,2502,1603],{"className":2503},[1602],[569,2505,2507],{"className":2506},[1523],[569,2508,2511],{"className":2509,"style":2510},[1527],"height:0.686em;",[569,2512],{},[569,2514],{"className":2515},[1290,1511],[569,2517,2519,2522],{"style":2518},"top:-3.6116em;",[569,2520],{"className":2521,"style":2416},[1535],[569,2523,2526],{"className":2524,"style":2525},[1585],"min-width:1.02em;height:2.48em;",[1588,2527,2530],{"xmlns":1590,"width":1591,"height":2528,"viewBox":2529,"preserveAspectRatio":1594},"2.48em","0 0 400000 2592",[1596,2531],{"d":2532},"M424,2478\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl0 -0c4,-6.7,10,-10,18,-10 H400000\nv40H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M1001 80\nh400000v40h-400000z",[569,2534,1603],{"className":2535},[1602],[569,2537,2539],{"className":2538},[1523],[569,2540,2543],{"className":2541,"style":2542},[1527],"height:0.7884em;",[569,2544],{},[569,2546],{"className":2547,"style":798},[797],[569,2549,2343],{"className":2550},[802],[569,2552],{"className":2553,"style":798},[797],[569,2555,2557,2560,2563,2569,2572,2575,2578],{"className":2556},[602],[569,2558],{"className":2559,"style":812},[606],[569,2561,816],{"className":2562},[611],[569,2564,2566],{"className":2565},[611],[569,2567,824],{"className":2568},[823],[569,2570,981],{"className":2571},[611],[569,2573],{"className":2574,"style":1229},[797],[569,2576,1186],{"className":2577},[1233],[569,2579],{"className":2580,"style":1229},[797],[569,2582,2584,2587,2590,2596,2600,2603,2606],{"className":2583},[602],[569,2585],{"className":2586,"style":812},[606],[569,2588,2106],{"className":2589},[611],[569,2591,2593],{"className":2592},[611],[569,2594,824],{"className":2595},[823],[569,2597,2599],{"className":2598},[611],"0156",[569,2601],{"className":2602,"style":798},[797],[569,2604,2343],{"className":2605},[802],[569,2607],{"className":2608,"style":798},[797],[569,2610,2612,2615,2618,2624],{"className":2611},[602],[569,2613],{"className":2614,"style":812},[606],[569,2616,2106],{"className":2617},[611],[569,2619,2621],{"className":2620},[611],[569,2622,824],{"className":2623},[823],[569,2625,2627],{"className":2626},[611],"031",[569,2629,2631],{"className":2630},[2309],[569,2632,2634,2695],{"className":2633},[572],[569,2635,2637],{"className":2636},[576],[578,2638,2639],{"xmlns":580,"display":2318},[582,2640,2641,2692],{},[585,2642,2643,2646,2648,2650,2652,2654,2657,2660,2662,2665,2667,2669,2672,2674,2676,2678,2681,2683,2685,2688,2690],{},[772,2644,2645],{"stretchy":1193},"[",[846,2647,848],{},[776,2649,2072],{},[772,2651,1199],{},[776,2653,2355],{},[772,2655,2656],{"separator":598},";",[846,2658,2659],{}," ",[776,2661,2072],{},[772,2663,2664],{},"+",[776,2666,2355],{},[846,2668,848],{},[772,2670,2671],{"stretchy":1193},"]",[772,2673,2343],{},[772,2675,2645],{"stretchy":1193},[846,2677,848],{},[776,2679,2680],{},"0,389",[772,2682,2656],{"separator":598},[846,2684,2659],{},[776,2686,2687],{},"0,451",[846,2689,848],{},[772,2691,2671],{"stretchy":1193},[591,2693,2694],{"encoding":593},"[\\,0{,}42 - 0{,}031;\\ 0{,}42 + 0{,}031\\,] \\approx [\\,0{,}389;\\ 0{,}451\\,]",[569,2696,2698,2731,2779,2812],{"className":2697,"ariaHidden":598},[597],[569,2699,2701,2704,2707,2710,2713,2719,2722,2725,2728],{"className":2700},[602],[569,2702],{"className":2703,"style":1261},[606],[569,2705,2645],{"className":2706},[1265],[569,2708],{"className":2709,"style":872},[797],[569,2711,2106],{"className":2712},[611],[569,2714,2716],{"className":2715},[611],[569,2717,824],{"className":2718},[823],[569,2720,2116],{"className":2721},[611],[569,2723],{"className":2724,"style":1229},[797],[569,2726,1199],{"className":2727},[1233],[569,2729],{"className":2730,"style":1229},[797],[569,2732,2734,2737,2740,2746,2749,2752,2755,2758,2761,2767,2770,2773,2776],{"className":2733},[602],[569,2735],{"className":2736,"style":812},[606],[569,2738,2106],{"className":2739},[611],[569,2741,2743],{"className":2742},[611],[569,2744,824],{"className":2745},[823],[569,2747,2627],{"className":2748},[611],[569,2750,2656],{"className":2751},[823],[569,2753,2659],{"className":2754},[797],[569,2756],{"className":2757,"style":872},[797],[569,2759,2106],{"className":2760},[611],[569,2762,2764],{"className":2763},[611],[569,2765,824],{"className":2766},[823],[569,2768,2116],{"className":2769},[611],[569,2771],{"className":2772,"style":1229},[797],[569,2774,2664],{"className":2775},[1233],[569,2777],{"className":2778,"style":1229},[797],[569,2780,2782,2785,2788,2794,2797,2800,2803,2806,2809],{"className":2781},[602],[569,2783],{"className":2784,"style":1261},[606],[569,2786,2106],{"className":2787},[611],[569,2789,2791],{"className":2790},[611],[569,2792,824],{"className":2793},[823],[569,2795,2627],{"className":2796},[611],[569,2798],{"className":2799,"style":872},[797],[569,2801,2671],{"className":2802},[1290],[569,2804],{"className":2805,"style":798},[797],[569,2807,2343],{"className":2808},[802],[569,2810],{"className":2811,"style":798},[797],[569,2813,2815,2818,2821,2824,2827,2833,2837,2840,2843,2846,2849,2855,2859,2862],{"className":2814},[602],[569,2816],{"className":2817,"style":1261},[606],[569,2819,2645],{"className":2820},[1265],[569,2822],{"className":2823,"style":872},[797],[569,2825,2106],{"className":2826},[611],[569,2828,2830],{"className":2829},[611],[569,2831,824],{"className":2832},[823],[569,2834,2836],{"className":2835},[611],"389",[569,2838,2656],{"className":2839},[823],[569,2841,2659],{"className":2842},[797],[569,2844],{"className":2845,"style":872},[797],[569,2847,2106],{"className":2848},[611],[569,2850,2852],{"className":2851},[611],[569,2853,824],{"className":2854},[823],[569,2856,2858],{"className":2857},[611],"451",[569,2860],{"className":2861,"style":872},[797],[569,2863,2671],{"className":2864},[1290],[565,2866,2867,2868,2906,2907,2958,2959,3009],{},"Das ",[569,2869,2871,2888],{"className":2870},[572],[569,2872,2874],{"className":2873},[576],[578,2875,2876],{"xmlns":580},[582,2877,2878,2886],{},[585,2879,2880,2882,2884],{},[776,2881,996],{},[846,2883,848],{},[588,2885,852],{"mathvariant":851},[591,2887,1003],{"encoding":593},[569,2889,2891],{"className":2890,"ariaHidden":598},[597],[569,2892,2894,2897,2900,2903],{"className":2893},[602],[569,2895],{"className":2896,"style":865},[606],[569,2898,996],{"className":2899},[611],[569,2901],{"className":2902,"style":872},[797],[569,2904,852],{"className":2905},[611],"-Konfidenzintervall für den Anteil der Befürworter reicht also von etwa ",[569,2908,2910,2929],{"className":2909},[572],[569,2911,2913],{"className":2912},[576],[578,2914,2915],{"xmlns":580},[582,2916,2917,2926],{},[585,2918,2919,2922,2924],{},[776,2920,2921],{},"38,9",[846,2923,848],{},[588,2925,852],{"mathvariant":851},[591,2927,2928],{"encoding":593},"38{,}9\\,\\%",[569,2930,2932],{"className":2931,"ariaHidden":598},[597],[569,2933,2935,2939,2943,2949,2952,2955],{"className":2934},[602],[569,2936],{"className":2937,"style":2938},[606],"height:0.9444em;vertical-align:-0.1944em;",[569,2940,2942],{"className":2941},[611],"38",[569,2944,2946],{"className":2945},[611],[569,2947,824],{"className":2948},[823],[569,2950,1209],{"className":2951},[611],[569,2953],{"className":2954,"style":872},[797],[569,2956,852],{"className":2957},[611]," bis ",[569,2960,2962,2981],{"className":2961},[572],[569,2963,2965],{"className":2964},[576],[578,2966,2967],{"xmlns":580},[582,2968,2969,2978],{},[585,2970,2971,2974,2976],{},[776,2972,2973],{},"45,1",[846,2975,848],{},[588,2977,852],{"mathvariant":851},[591,2979,2980],{"encoding":593},"45{,}1\\,\\%",[569,2982,2984],{"className":2983,"ariaHidden":598},[597],[569,2985,2987,2990,2994,3000,3003,3006],{"className":2986},[602],[569,2988],{"className":2989,"style":2938},[606],[569,2991,2993],{"className":2992},[611],"45",[569,2995,2997],{"className":2996},[611],[569,2998,824],{"className":2999},[823],[569,3001,816],{"className":3002},[611],[569,3004],{"className":3005,"style":872},[797],[569,3007,852],{"className":3008},[611],".",[565,3011,3012,3013,3042,3043,3071,3072,3009],{},"Bei ",[569,3014,3016,3030],{"className":3015},[572],[569,3017,3019],{"className":3018},[576],[578,3020,3021],{"xmlns":580},[582,3022,3023,3028],{},[585,3024,3025],{},[776,3026,3027],{},"4000",[591,3029,3027],{"encoding":593},[569,3031,3033],{"className":3032,"ariaHidden":598},[597],[569,3034,3036,3039],{"className":3035},[602],[569,3037],{"className":3038,"style":1306},[606],[569,3040,3027],{"className":3041},[611]," Befragten und gleichem ",[569,3044,3046,3059],{"className":3045},[572],[569,3047,3049],{"className":3048},[576],[578,3050,3051],{"xmlns":580},[582,3052,3053,3057],{},[585,3054,3055],{},[588,3056,664],{},[591,3058,664],{"encoding":593},[569,3060,3062],{"className":3061,"ariaHidden":598},[597],[569,3063,3065,3068],{"className":3064},[602],[569,3066],{"className":3067,"style":676},[606],[569,3069,664],{"className":3070},[611,612]," wäre der Radius nur noch ",[569,3073,3075,3110],{"className":3074},[572],[569,3076,3078],{"className":3077},[576],[578,3079,3080],{"xmlns":580},[582,3081,3082,3107],{},[585,3083,3084,3086,3088,3102,3104],{},[776,3085,938],{},[772,3087,1186],{},[1488,3089,3090],{},[1483,3091,3092,3100],{},[585,3093,3094,3096,3098],{},[776,3095,2072],{},[772,3097,1186],{},[776,3099,2140],{},[776,3101,3027],{},[772,3103,2343],{},[776,3105,3106],{},"0,015",[591,3108,3109],{"encoding":593},"1{,}96 \\cdot \\sqrt{\\frac{0{,}42 \\cdot 0{,}58}{4000}} \\approx 0{,}015",[569,3111,3113,3140,3297],{"className":3112,"ariaHidden":598},[597],[569,3114,3116,3119,3122,3128,3131,3134,3137],{"className":3115},[602],[569,3117],{"className":3118,"style":812},[606],[569,3120,816],{"className":3121},[611],[569,3123,3125],{"className":3124},[611],[569,3126,824],{"className":3127},[823],[569,3129,981],{"className":3130},[611],[569,3132],{"className":3133,"style":1229},[797],[569,3135,1186],{"className":3136},[1233],[569,3138],{"className":3139,"style":1229},[797],[569,3141,3143,3147,3288,3291,3294],{"className":3142},[602],[569,3144],{"className":3145,"style":3146},[606],"height:1.84em;vertical-align:-0.5789em;",[569,3148,3150],{"className":3149},[611,1550],[569,3151,3153,3279],{"className":3152},[1518,1519],[569,3154,3156,3276],{"className":3155},[1523],[569,3157,3160,3263],{"className":3158,"style":3159},[1527],"height:1.2611em;",[569,3161,3163,3166],{"className":3162,"style":1780},[1564],[569,3164],{"className":3165,"style":1784},[1535],[569,3167,3169],{"className":3168,"style":1788},[611],[569,3170,3172,3175,3260],{"className":3171},[611],[569,3173],{"className":3174},[1265,1511],[569,3176,3178],{"className":3177},[1483],[569,3179,3181,3252],{"className":3180},[1518,1519],[569,3182,3184,3249],{"className":3183},[1523],[569,3185,3188,3202,3210],{"className":3186,"style":3187},[1527],"height:0.8972em;",[569,3189,3190,3193],{"style":1810},[569,3191],{"className":3192,"style":1536},[1535],[569,3194,3196],{"className":3195},[1540,1541,1542,1543],[569,3197,3199],{"className":3198},[611,1543],[569,3200,3027],{"className":3201},[611,1543],[569,3203,3204,3207],{"style":1615},[569,3205],{"className":3206,"style":1536},[1535],[569,3208],{"className":3209,"style":1623},[1622],[569,3211,3213,3216],{"style":3212},"top:-3.4461em;",[569,3214],{"className":3215,"style":1536},[1535],[569,3217,3219],{"className":3218},[1540,1541,1542,1543],[569,3220,3222,3225,3231,3234,3237,3240,3246],{"className":3221},[611,1543],[569,3223,2106],{"className":3224},[611,1543],[569,3226,3228],{"className":3227},[611,1543],[569,3229,824],{"className":3230},[823,1543],[569,3232,2116],{"className":3233},[611,1543],[569,3235,1186],{"className":3236},[1233,1543],[569,3238,2106],{"className":3239},[611,1543],[569,3241,3243],{"className":3242},[611,1543],[569,3244,824],{"className":3245},[823,1543],[569,3247,1086],{"className":3248},[611,1543],[569,3250,1603],{"className":3251},[1602],[569,3253,3255],{"className":3254},[1523],[569,3256,3258],{"className":3257,"style":1870},[1527],[569,3259],{},[569,3261],{"className":3262},[1290,1511],[569,3264,3266,3269],{"style":3265},"top:-3.2211em;",[569,3267],{"className":3268,"style":1784},[1535],[569,3270,3272],{"className":3271,"style":1885},[1585],[1588,3273,3274],{"xmlns":1590,"width":1591,"height":1888,"viewBox":1889,"preserveAspectRatio":1594},[1596,3275],{"d":1892},[569,3277,1603],{"className":3278},[1602],[569,3280,3282],{"className":3281},[1523],[569,3283,3286],{"className":3284,"style":3285},[1527],"height:0.5789em;",[569,3287],{},[569,3289],{"className":3290,"style":798},[797],[569,3292,2343],{"className":3293},[802],[569,3295],{"className":3296,"style":798},[797],[569,3298,3300,3303,3306,3312],{"className":3299},[602],[569,3301],{"className":3302,"style":812},[606],[569,3304,2106],{"className":3305},[611],[569,3307,3309],{"className":3308},[611],[569,3310,824],{"className":3311},[823],[569,3313,3315],{"className":3314},[611],"015",[560,3317,3319],{"id":3318},"typische-fehler","Typische Fehler",[752,3321,3322,3422,3453,3524],{},[755,3323,3324,3325,3353,3354,3392,3393,3421],{},"Das Konfidenzniveau falsch deuten. Nicht ",[569,3326,3328,3341],{"className":3327},[572],[569,3329,3331],{"className":3330},[576],[578,3332,3333],{"xmlns":580},[582,3334,3335,3339],{},[585,3336,3337],{},[588,3338,565],{},[591,3340,565],{"encoding":593},[569,3342,3344],{"className":3343,"ariaHidden":598},[597],[569,3345,3347,3350],{"className":3346},[602],[569,3348],{"className":3349,"style":607},[606],[569,3351,565],{"className":3352},[611,612]," ist zufällig, sondern das Intervall. Gemeint ist: Das Verfahren liefert in etwa ",[569,3355,3357,3374],{"className":3356},[572],[569,3358,3360],{"className":3359},[576],[578,3361,3362],{"xmlns":580},[582,3363,3364,3372],{},[585,3365,3366,3368,3370],{},[776,3367,996],{},[846,3369,848],{},[588,3371,852],{"mathvariant":851},[591,3373,1003],{"encoding":593},[569,3375,3377],{"className":3376,"ariaHidden":598},[597],[569,3378,3380,3383,3386,3389],{"className":3379},[602],[569,3381],{"className":3382,"style":865},[606],[569,3384,996],{"className":3385},[611],[569,3387],{"className":3388,"style":872},[797],[569,3390,852],{"className":3391},[611]," aller Stichproben ein Intervall, das ",[569,3394,3396,3409],{"className":3395},[572],[569,3397,3399],{"className":3398},[576],[578,3400,3401],{"xmlns":580},[582,3402,3403,3407],{},[585,3404,3405],{},[588,3406,565],{},[591,3408,565],{"encoding":593},[569,3410,3412],{"className":3411,"ariaHidden":598},[597],[569,3413,3415,3418],{"className":3414},[602],[569,3416],{"className":3417,"style":607},[606],[569,3419,565],{"className":3420},[611,612]," enthält.",[755,3423,3424,3452],{},[569,3425,3427,3440],{"className":3426},[572],[569,3428,3430],{"className":3429},[576],[578,3431,3432],{"xmlns":580},[582,3433,3434,3438],{},[585,3435,3436],{},[588,3437,633],{},[591,3439,633],{"encoding":593},[569,3441,3443],{"className":3442,"ariaHidden":598},[597],[569,3444,3446,3449],{"className":3445},[602],[569,3447],{"className":3448,"style":645},[606],[569,3450,633],{"className":3451},[611,612]," im Nenner unter der Wurzel vergessen. Dann ist das Intervall viel zu breit.",[755,3454,3455,3456,3484,3485,3523],{},"Die absolute Trefferzahl (",[569,3457,3459,3472],{"className":3458},[572],[569,3460,3462],{"className":3461},[576],[578,3463,3464],{"xmlns":580},[582,3465,3466,3470],{},[585,3467,3468],{},[776,3469,2038],{},[591,3471,2038],{"encoding":593},[569,3473,3475],{"className":3474,"ariaHidden":598},[597],[569,3476,3478,3481],{"className":3477},[602],[569,3479],{"className":3480,"style":1306},[606],[569,3482,2038],{"className":3483},[611],") statt der relativen Häufigkeit (",[569,3486,3488,3502],{"className":3487},[572],[569,3489,3491],{"className":3490},[576],[578,3492,3493],{"xmlns":580},[582,3494,3495,3499],{},[585,3496,3497],{},[776,3498,2072],{},[591,3500,3501],{"encoding":593},"0{,}42",[569,3503,3505],{"className":3504,"ariaHidden":598},[597],[569,3506,3508,3511,3514,3520],{"className":3507},[602],[569,3509],{"className":3510,"style":812},[606],[569,3512,2106],{"className":3513},[611],[569,3515,3517],{"className":3516},[611],[569,3518,824],{"className":3519},[823],[569,3521,2116],{"className":3522},[611],") einsetzen.",[755,3525,3526,3527,3653],{},"Die Bedingung 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