{"id":3137,"date":"2023-07-19T00:36:05","date_gmt":"2023-07-19T00:36:05","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e8%aa%a4%e5%b7%ae%e3%81%ae%e7%af%84%e5%9b%b2%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/"},"modified":"2023-07-19T00:36:05","modified_gmt":"2023-07-19T00:36:05","slug":"%e8%aa%a4%e5%b7%ae%e3%81%ae%e7%af%84%e5%9b%b2%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e8%aa%a4%e5%b7%ae%e3%81%ae%e7%af%84%e5%9b%b2%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/","title":{"rendered":"\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5: \u4f8b\u4ed8\u304d"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u3067\u306f\u3001<strong>\u8aa4\u5dee\u306e\u7bc4\u56f2\u306f\u3001<\/strong>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u307e\u305f\u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u306e\u63a8\u5b9a\u5024\u306e\u7cbe\u5ea6\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u7d71\u8a08\u3068\u30cf\u309a\u30e9\u30e1\u30fc\u30bf\/\" target=\"_blank\" rel=\"noopener\">\u6bcd\u96c6\u56e3\u30d1\u30e9\u30e1\u30fc\u30bf<\/a>\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306f\u3001\u901a\u5e38\u3001\u8a31\u5bb9\u8aa4\u5dee\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u6bcd\u6bd4\u7387\u3068\u6bcd\u5e73\u5747\u306e\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u3066\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 1: \u4eba\u53e3\u6bd4\u7387\u306e\u8aa4\u5dee\u7bc4\u56f2\u306e\u89e3\u91c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong>\u30b5\u30f3\u30d7\u30eb\u5272\u5408<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z:<\/strong>\u9078\u629e\u3055\u308c\u305f Z \u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u65b9\u7a0b\u5f0f\u306e +\/- \u8a18\u53f7\u306e\u5f8c\u306e\u90e8\u5206\u306f\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u8aa4\u5dee\u7bc4\u56f2 = z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u306e\u4f4f\u6c11\u306e\u5272\u5408\u3092\u63a8\u5b9a\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u4f4f\u6c11 100 \u4eba\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u7121\u4f5c\u70ba\u306b\u9078\u3073\u3001\u6cd5\u5f8b\u306b\u5bfe\u3059\u308b\u5f7c\u3089\u306e\u7acb\u5834\u3092\u5c0b\u306d\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<strong>n = 100<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u5272\u5408<strong>p = 0.56<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u4f4f\u6c11\u306e\u771f\u306e\u5272\u5408\u306e 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0a\u8a18\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u7bc4\u56f2 = z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u7bc4\u56f2 = 1.96*(\u221a <span style=\"text-decoration: overline;\">.56(1-.56) \/ 100<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u306e\u7bc4\u56f2 = 0.0973<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u6b21\u306e\u3088\u3046\u306b 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = 0.56<\/strong> <strong>+\/- 0.0973<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = [.4627, .6573]<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u4f4f\u6c11\u306e\u5272\u5408\u306e 95% \u4fe1\u983c\u533a\u9593\u306f<strong>[.4627, .6573]<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u5b9f\u969b\u306e\u5272\u5408\u304c 46.27% \u304b\u3089 65.73% \u3067\u3042\u308b\u3068 95% \u78ba\u4fe1\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u30b5\u30f3\u30d7\u30eb\u4f4f\u6c11\u306e\u5272\u5408\u306f 56% \u3067\u3057\u305f\u304c\u3001\u3053\u306e\u30b5\u30f3\u30d7\u30eb\u5272\u5408\u304b\u3089\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u6e1b\u7b97\u304a\u3088\u3073\u52a0\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u4f4f\u6c11\u306e\u771f\u306e\u5272\u5408\u3092\u542b\u3080\u53ef\u80fd\u6027\u304c\u6700\u3082\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 2: \u6bcd\u96c6\u56e3\u5e73\u5747\u306e\u8aa4\u5dee\u7bc4\u56f2\u306e\u89e3\u91c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u6bcd\u96c6\u56e3\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221a <span style=\"border-top: 1px solid black;\">n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z:<\/strong> z \u81e8\u754c\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u65b9\u7a0b\u5f0f\u306e +\/- \u8a18\u53f7\u306e\u5f8c\u306e\u90e8\u5206\u306f\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u8aa4\u5dee\u7bc4\u56f2 = z*(s\/ <span style=\"border-top: 1px solid black;\">\u221an<\/span> )<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u30a4\u30eb\u30ab\u306e\u96c6\u56e3\u306e\u5e73\u5747\u4f53\u91cd\u3092\u63a8\u5b9a\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u3001\u4ee5\u4e0b\u306e\u60c5\u5831\u3092\u542b\u3080\u30a4\u30eb\u30ab\u306e <a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u30b5\u30f3\u30d7\u30eb\u3092\u30e9\u30f3\u30c0\u30e0\u306b<\/a>\u53ce\u96c6\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<strong>n = 40<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u30b5\u30f3\u30d7\u30eb\u91cd\u91cf<strong><span style=\"text-decoration: overline;\">x<\/span> = 300<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u6a19\u6e96\u504f\u5dee<strong>s = 18.5<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0a\u8a18\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u7bc4\u56f2 = z*(s\/ <span style=\"border-top: 1px solid black;\">\u221an<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u7bc4\u56f2 = 1.96*(18.5\/ <span style=\"text-decoration: overline;\">\u221a40<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u8aa4\u5dee\u306e\u7bc4\u56f2 = 5.733<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u6b21\u306e\u3088\u3046\u306b 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221a <span style=\"border-top: 1px solid black;\">n<\/span> )<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = 300 +\/- 5.733<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 =[294.267, 305.733]<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u96c6\u56e3\u306b\u304a\u3051\u308b\u30a4\u30eb\u30ab\u306e\u5e73\u5747\u4f53\u91cd\u306e 95% \u4fe1\u983c\u533a\u9593\u306f<strong>[294.267, 305.733]<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u3053\u306e\u500b\u4f53\u7fa4\u306e\u30a4\u30eb\u30ab\u306e\u771f\u306e\u5e73\u5747\u4f53\u91cd\u304c 294,267 \u30dd\u30f3\u30c9\u304b\u3089 305,733 \u30dd\u30f3\u30c9\u306e\u9593\u306b\u3042\u308b\u3053\u3068\u3092 95% \u78ba\u4fe1\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u5185\u306e\u30a4\u30eb\u30ab\u306e\u5e73\u5747\u4f53\u91cd\u306f 300 \u30dd\u30f3\u30c9\u3067\u3057\u305f\u304c\u3001\u3053\u306e\u30b5\u30f3\u30d7\u30eb\u304b\u3089\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u6e1b\u7b97\u304a\u3088\u3073\u52a0\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u3053\u306e\u500b\u4f53\u7fa4\u306e\u30a4\u30eb\u30ab\u306e\u771f\u306e\u5e73\u5747\u4f53\u91cd\u304c\u542b\u307e\u308c\u308b\u53ef\u80fd\u6027\u304c\u975e\u5e38\u306b\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u306b\u95a2\u3059\u308b\u8ffd\u52a0\u60c5\u5831\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/\u8aa4\u5dee\u7bc4\u56f2\u3068\u6a19\u6e96\u8aa4\u5dee\u306e\u9055\u3044\u306f\u4f55\u3066\u3099\u3059\u304b\/\" target=\"_blank\" rel=\"noopener\">\u8aa4\u5dee\u7bc4\u56f2\u3068\u6a19\u6e96\u8aa4\u5dee: \u9055\u3044\u306f\u4f55\u3067\u3059\u304b?<\/a><br \/> Excel\u3067\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5<br \/><a href=\"https:\/\/statorials.org\/ja\/\u8aa4\u5dee\u306e\u7bc4\u56f2-ti-84\/\" target=\"_blank\" rel=\"noopener\">TI-84 \u96fb\u5353\u3067\u8aa4\u5dee\u306e\u7bc4\u56f2\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u3067\u306f\u3001\u8aa4\u5dee\u306e\u7bc4\u56f2\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u307e\u305f\u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u306e\u63a8\u5b9a\u5024\u306e\u7cbe\u5ea6\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u6bcd\u96c6\u56e3\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306f\u3001\u901a\u5e38\u3001\u8a31\u5bb9\u8aa4\u5dee\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 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