{"id":245,"date":"2023-08-03T16:05:59","date_gmt":"2023-08-03T16:05:59","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%af%94%e7%8e%87%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93\/"},"modified":"2023-08-03T16:05:59","modified_gmt":"2023-08-03T16:05:59","slug":"%e6%af%94%e7%8e%87%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%af%94%e7%8e%87%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93\/","title":{"rendered":"\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u7d71\u8a08\u3067\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3068\u3001\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u3092\u5b66\u7fd2\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-intervalo-de-confianza-para-la-proporcion\"><\/span>\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001<\/strong>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u8a31\u5bb9\u5024\u306e\u7bc4\u56f2\u3092\u63d0\u4f9b\u3059\u308b\u533a\u9593\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u304c\u8aa4\u5dee\u306e\u7bc4\u56f2\u5185\u306b\u3042\u308b\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u4fe1\u983c\u6c34\u6e96\u304c 95% \u3067\u3042\u308b\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u304c (0.73, 0.81) \u3067\u3042\u308b\u5834\u5408\u3001\u3053\u308c\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u304c 73% \uff5e 81% \u306e\u9593\u306b\u3042\u308a\u3001\u78ba\u7387\u304c 95% \u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u7279\u5b9a\u306e\u7279\u6027\u3092\u6e80\u305f\u3059\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u5024\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u8aac\u660e\u3059\u308b\u3088\u3046\u306b\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306f\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3068\u30b5\u30f3\u30d7\u30eb\u5185\u306e\u89b3\u6e2c\u5024\u306e\u6570\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-proporcion\"><\/span>\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u306e\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001Z <sub>\u03b1\/2<\/sub>\u306e\u5024\u306b\u30b5\u30f3\u30d7\u30eb\u6bd4\u7387 (p) \u306e\u5e73\u65b9\u6839\u3092\u639b\u3051\u30011-p \u3092\u639b\u3051\u3066\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n) \u3067\u5272\u3063\u305f\u5024\u3092\u30b5\u30f3\u30d7\u30eb\u6bd4\u7387\u306b\u52a0\u7b97\u304a\u3088\u3073\u6e1b\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21<\/strong>\u306e\u3068\u304a\u308a\u3067\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-a328986eaa330c075c7fb85780df6411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(p-Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\ , \\ p+Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:7px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6f8ee37ecf97c2a7c7d6dbe8fddddc27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -8px;\"><\/p>\n<p> \u03b1\/2 \u306e\u78ba\u7387\u306b\u5bfe\u5fdc\u3059\u308b\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u5206\u4f4d\u6570\u3067\u3059\u3002\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u300195% \u306e\u4fe1\u983c\u6c34\u6e96\u306e\u5834\u5408\u306f\u901a\u5e38 1.96 \u306b\u8fd1\u304f\u300199% \u306e\u4fe1\u983c\u6c34\u6e96\u306e\u5834\u5408\u306f\u901a\u5e38 2.576 \u306b\u8fd1\u304f\u306a\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-un-intervalo-de-confianza-para-la-proporcion\"><\/span>\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306e\u8a08\u7b97\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ee5\u4e0b\u306b\u5177\u4f53\u7684\u306a\u4f8b\u3092\u30b9\u30c6\u30c3\u30d7\u3054\u3068\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u4fdd\u967a\u4f1a\u793e\u306f\u5e02\u5834\u8abf\u67fb\u3092\u5b9f\u65bd\u3057\u3001\u56fd\u5185\u3067\u751f\u547d\u4fdd\u967a\u306b\u52a0\u5165\u3057\u3066\u3044\u308b\u4eba\u304c\u4f55\u4eba\u3044\u308b\u304b\u3092\u8abf\u3079\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001700 \u4eba\u306e\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u304c\u5206\u6790\u3055\u308c\u3001\u30b5\u30f3\u30d7\u30eb\u306e 40% \u304c\u751f\u547d\u4fdd\u967a\u306b\u52a0\u5165\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u7d50\u8ad6\u306b\u9054\u3057\u307e\u3057\u305f\u3002\u56fd\u306e\u4eba\u53e3\u306b\u5360\u3081\u308b\u5272\u5408\u306e 95% \u4fe1\u983c\u6c34\u6e96\u306e\u4fe1\u983c\u533a\u9593\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/li>\n<\/ul>\n<p>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u4e0a\u3067\u898b\u305f\u5f0f\u3092\u4f7f\u7528\u3059\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-a328986eaa330c075c7fb85780df6411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(p-Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\ , \\ p+Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u4fe1\u983c\u533a\u9593\u306e\u4fe1\u983c\u6c34\u6e96\u3092 95% \u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u53d6\u5f97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b Z <sub>\u03b1\/2<\/sub>\u306e\u5024\u306f 1.96 \u3067\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-776a555edd1d064cf29a3a354caa5325_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-\\alpha=0,95 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"534\" style=\"vertical-align: -5px;\"><\/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-54dda39d0da5b29f2d25728b89565859_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}Z_{\\alpha\/2}= \\ \\color{orange}\\bm{?}\\\\[4ex]Z_{0,025}=1,96\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"71\" width=\"127\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u554f\u984c\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u306f\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u304c n=700 \u3067\u3001\u30b5\u30f3\u30d7\u30eb\u5185\u3067\u89b3\u5bdf\u3055\u308c\u305f\u5272\u5408\u304c p=0.40 \u3067\u3042\u308b\u3053\u3068\u304c\u3059\u3067\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u306e\u5f0f\u306b\u30c7\u30fc\u30bf\u3092\u4ee3\u5165\u3057\u3001\u533a\u9593\u306e\u9650\u754c\u3092\u8a08\u7b97\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-a328986eaa330c075c7fb85780df6411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(p-Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\ , \\ p+Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -23px;\"><\/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-19482f8505723187c6106d6a1ab9ebb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(0,40-1,96\\cdot \\sqrt{\\frac{0,40\\cdot (1-0,40)}{700}}\\ , \\ 0,40+1,96\\cdot \\sqrt{\\frac{0,40\\cdot (1-0,40)}{700}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"542\" style=\"vertical-align: -23px;\"><\/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-bc0b3de3cfa91d76192cb5cd5778aef6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(0,36 \\ , \\ 0,44\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u8abf\u67fb\u5bfe\u8c61\u306e\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306f 36% \uff5e 44% \u3067\u3042\u308a\u3001\u4fe1\u983c\u6c34\u6e96\u306f 95% \u3067\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\/\u5e73\u5747\u5024\u306e\u4fe1\u983c\u533a\u9593\/\">\u5e73\u5747\u5024\u306e\u4fe1\u983c\u533a\u9593<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5206\u6563\u306e\u4fe1\u983c\u533a\u9593\/\">\u5206\u6563\u306e\u4fe1\u983c\u533a\u9593<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u7d71\u8a08\u3067\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3068\u3001\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u3092\u5b66\u7fd2\u3057\u307e\u3059\u3002 \u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-245","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5272\u5408\u306e\u4fe1\u983c\u533a\u9593<\/title>\n<meta name=\"description\" content=\"\u3053\u3053\u3067\u306f\u3001\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3068\u306f\u4f55\u304b\u3001\u305d\u306e\u8a08\u7b97\u65b9\u6cd5 (\u5f0f)\u3001\u304a\u3088\u3073\u5177\u4f53\u7684\u306a\u4f8b\u3092\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u3067\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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