{"id":256,"date":"2023-08-03T12:18:35","date_gmt":"2023-08-03T12:18:35","guid":{"rendered":"https:\/\/statorials.org\/ja\/p%e5%80%a4\/"},"modified":"2023-08-03T12:18:35","modified_gmt":"2023-08-03T12:18:35","slug":"p%e5%80%a4","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/p%e5%80%a4\/","title":{"rendered":"P\u5024"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5024\u306e\u610f\u5473\u3068\u305d\u306e\u89e3\u91c8\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b p \u5024\u306e\u610f\u5473\u3001p \u5024\u306e\u8a08\u7b97\u65b9\u6cd5\u3001\u304a\u3088\u3073\u6bb5\u968e\u7684\u306a\u89e3\u6c7a\u6f14\u7fd2\u3092\u5b66\u3073\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-valor-p\"><\/span> p\u5024\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b<strong>p \u5024<\/strong>(\u307e\u305f\u306f<strong>p \u5024<\/strong>) \u306f\u3001\u5e30\u7121\u4eee\u8aac\u304c\u771f\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3066\u691c\u5b9a\u7d71\u8a08\u91cf\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3067\u3059\u3002\u3064\u307e\u308a\u3001p \u5024\u306f\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u307e\u305f\u306f\u53d7\u3051\u5165\u308c\u308b\u305f\u3081\u306e\u4eee\u8aac\u691c\u5b9a\u3067\u4f7f\u7528\u3055\u308c\u308b 0 \u304b\u3089 1 \u307e\u3067\u306e\u5024\u3067\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b\u306f\u3001p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3001p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u304c\u53d7\u3051\u5165\u308c\u3089\u308c\u3001\u5bfe\u7acb\u4eee\u8aac\u304c\u68c4\u5374\u3055\u308c\u307e\u3059\u3002 p \u5024\u306e\u89e3\u91c8\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u3067\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u8981\u6027\u306e\u30ec\u30d8\u3099\u30eb\/\">\u7d71\u8a08\u306b\u304a\u3051\u308b\u6709\u610f\u6027\u306e\u30ec\u30d9\u30eb\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><\/div>\n<p>\u3064\u307e\u308a\u3001p \u5024\u306f\u3001\u5076\u7136\u306b\u3088\u308b\u7d50\u679c\u3068\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u7d50\u679c\u3092\u533a\u5225\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u305f\u3081\u3001\u7814\u7a76\u4eee\u8aac\u3092\u53d7\u3051\u5165\u308c\u308b\u304b\u62d2\u5426\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p> p \u5024\u306f\u82f1\u8a9e\u306e\u7528\u8a9e\u3067\u3042\u308a\u3001\u591a\u304f\u306e\u7d71\u8a08\u7814\u7a76\u304c\u82f1\u8a9e\u3067\u51fa\u7248\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001 <em><strong>p \u5024<\/strong><\/em>\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-valor-p\"><\/span> p\u5024\u306e\u89e3\u91c8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>p \u5024\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u305f\u306e\u3067\u3001\u7d71\u8a08\u691c\u5b9a\u3067 p \u5024\u3092\u6b63\u3057\u304f\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u57fa\u672c\u7684\u306b\u3001p \u5024\u306f\u6b21\u306e\u3088\u3046\u306b\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u3001<a href=\"https:\/\/statorials.org\/ja\/\u5e30\u7121\u4eee\u8aac\/\">\u5e30\u7121\u4eee\u8aac<\/a>\u306f\u68c4\u5374\u3055\u308c\u307e\u3059 (\u5bfe\u7acb\u4eee\u8aac\u306f\u53d7\u3051\u5165\u308c\u3089\u308c\u307e\u3059)\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001<a href=\"https:\/\/statorials.org\/ja\/\u5bfe\u7acb\u4eee\u8aac-1\/\">\u5bfe\u7acb\u4eee\u8aac\u306f<\/a>\u68c4\u5374\u3055\u308c\u307e\u3059 (\u5e30\u7121\u4eee\u8aac\u304c\u53d7\u3051\u5165\u308c\u3089\u308c\u307e\u3059)\u3002<\/span><\/li>\n<\/ul>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001 <strong>p \u5024\u306e\u89e3\u91c8\u306f\u3001\u9078\u629e\u3057\u305f\u6709\u610f\u6c34\u6e96\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059<\/strong>\u3002\u901a\u5e38\u3001\u6709\u610f\u6c34\u6e96\u306f 0.05 \u307e\u305f\u306f 0.01 \u306b\u8a2d\u5b9a\u3055\u308c\u307e\u3059\u304c\u3001\u3053\u308c\u306f\u7814\u7a76\u8005\u304c\u6c7a\u5b9a\u3059\u308b\u4efb\u610f\u306e\u5024\u3067\u3059\u3002<\/p>\n<p> p \u5024\u306e\u5024\u306f\u3001\u4eee\u8aac\u304c\u5fc5\u305a\u3057\u3082\u771f\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001p \u5024\u306e\u304a\u304b\u3052\u3067\u305d\u308c\u3092\u884c\u3046\u3068\u3044\u3046\u7d71\u8a08\u7684\u8a3c\u62e0\u304c\u3042\u308b\u305f\u3081\u3001\u4eee\u8aac\u304c\u68c4\u5374\u3055\u308c\u308b\u304b\u3001\u4eee\u8aac\u304c\u68c4\u5374\u3055\u308c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3060\u3051\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305f\u3060\u3057\u3001\u5e30\u7121\u4eee\u8aac\u304c\u6b63\u3057\u3044\u5834\u5408\u306b\u9593\u9055\u3063\u3066\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3059\u308b\u3053\u3068\u3082\u3001\u9006\u306b\u5e30\u7121\u4eee\u8aac\u304c\u507d\u3067\u3042\u308b\u5834\u5408\u306b\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u306a\u3044\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u9593\u9055\u3044\u3092\u72af\u3059\u53ef\u80fd\u6027\u306f\u975e\u5e38\u306b\u4f4e\u3044\u3067\u3059\u304c\u3001\u5f7c\u5973\u304c\u9593\u9055\u3044\u3092\u72af\u3057\u305f\u53ef\u80fd\u6027\u306f\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001p \u5024\u304c\u6709\u610f\u6c34\u6e96 (\u901a\u5e38 \u03b1 = 0.05) \u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u3001p \u5024\u306f\u6709\u610f\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u3001\u305d\u306e\u5024\u3092\u68c4\u5374\u3059\u308b\u6709\u610f\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u305f\u3081\u3067\u3059\u3002\u5e30\u7121\u4eee\u8aac\u3002 \u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-valor-p\"><\/span> p\u5024\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u306b\u304a\u3051\u308b p \u5024\u306e\u610f\u5473\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001p \u5024\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u4eee\u8aac\u691c\u5b9a\u3092\u89e3\u6c7a\u3059\u308b\u4f8b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u304a\u3082\u3061\u3083\u3092\u4f5c\u308b\u305f\u3081\u306b\u3001\u4f01\u696d\u306f\u304a\u3082\u3061\u3083\u306e\u90e8\u54c1\u306e 1 \u3064\u3092\u5916\u90e8\u306e\u4f1a\u793e\u304b\u3089\u8cfc\u5165\u3057\u3001\u6b8b\u308a\u306e\u90e8\u54c1\u3068\u7d44\u307f\u7acb\u3066\u307e\u3059\u3002\u7406\u8ad6\u4e0a\u3001\u8cfc\u5165\u3059\u308b\u90e8\u54c1\u306e\u9577\u3055\u306f5cm\u3067\u3042\u308b\u306f\u305a\u3060\u304c\u3001\u6700\u8fd1\u306f\u7d44\u307f\u7acb\u3066\u4e0a\u306e\u6b20\u9665\u304c\u591a\u304f\u3001\u540c\u793e\u3067\u306f\u8cfc\u5165\u3059\u308b\u90e8\u54c1\u306e\u5e73\u5747\u9577\u3055\u304c\u7570\u306a\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u7591\u3063\u3066\u3044\u308b\u3002\u78ba\u8a8d\u306e\u305f\u3081\u3001\u5916\u90e8\u306e\u4f1a\u793e\u306b 10,000 \u500b\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u4f9d\u983c\u3057\u3001\u30e9\u30f3\u30c0\u30e0\u306a\u90e8\u5206\u3092\u6e2c\u5b9a\u3059\u308b\u3068\u3001\u305d\u306e\u9577\u3055\u306f 5.25 cm \u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u6700\u521d\u306e\u4eee\u8aac\u3092\u53d7\u3051\u5165\u308c\u308b\u304b\u62d2\u5426\u3059\u308b\u305f\u3081\u306b\u3001\u4eee\u8aac\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3057\u305f\u3002<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\u4eee\u8aac\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6b488765bc2ec494d01217b548fd303f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu=5,00 \\text{ cm} \\\\[2ex]H_1: \\mu\\neq 5,00 \\text{ cm}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"148\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u3001\u6709\u610f\u6c34\u6e96 5% \u3092\u63a1\u7528\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-76d20f2945704d6640a4b9986b8b7c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"69\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u30e9\u30f3\u30c0\u30e0\u306b\u53d6\u5f97\u3057\u305f\u5024 (5.25 cm) \u306f\u3001\u7406\u8ad6\u4e0a\u306e\u5e73\u5747\u5024 (5.00 cm) \u304b\u3089 0.25 cm \u305a\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u4eee\u8aac\u691c\u5b9a\u306e p \u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30010.25 cm \u4ee5\u4e0a\u9038\u8131\u3057\u305f\u5024\u306e\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 10,000 \u30e6\u30cb\u30c3\u30c8\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u5206\u6790\u3057\u305f\u7d50\u679c\u3001183 \u30e6\u30cb\u30c3\u30c8\u306f 4.75 cm \u672a\u6e80\u3067\u3042\u308a\u3001\u4e00\u65b9\u3001209 \u30e6\u30cb\u30c3\u30c8\u306f 5.25 cm \u3088\u308a\u5927\u304d\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<p class=\"has-text-align-center\"> 4.75cm\u4ee5\u4e0b\uff1a183\u679a<br \/>5.25cm\u4ee5\u4e0a\uff1a209\u679a<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u4eee\u8aac\u691c\u5b9a\u306e p \u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30010.25 cm \u4ee5\u4e0a\u306e\u504f\u5dee\u3067\u898b\u3064\u304b\u3063\u305f\u30b3\u30a4\u30f3\u3092\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-509bc4666fdaecfad9c4a49c4f96b857_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{183+209}{10000}=0,0392\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"186\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u8a08\u7b97\u3055\u308c\u305f p \u5024\u306f\u3001\u4ee5\u524d\u306b\u9078\u629e\u3057\u305f\u6709\u610f\u6c34\u6e96\u3088\u308a\u3082\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bfc05d72c8bc2285fe4de3ee8967e0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p< \\alpha \\ 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style=\"color:#101010;font-weight: normal;\">p \u5024\u306f\u7814\u7a76\u306e\u4fe1\u983c\u6027\u306b\u95a2\u9023\u3059\u308b\u305f\u3081\u3001p \u5024\u304c\u4f4e\u3044\u307b\u3069\u3001\u7d71\u8a08\u5206\u6790\u304b\u3089\u5f97\u3089\u308c\u308b\u7d50\u679c\u306e\u4fe1\u983c\u6027\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:22px\"><span style=\"color:#101010;font-weight: normal;\">\u6709\u610f\u6c34\u6e96\u306f\u4efb\u610f\u3067\u7814\u7a76\u8005\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u305f\u3081\u3001p 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