{"id":248,"date":"2023-08-03T16:05:59","date_gmt":"2023-08-03T16:05:59","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/"},"modified":"2023-08-03T16:05:59","modified_gmt":"2023-08-03T16:05:59","slug":"%e6%af%94%e4%be%8b%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/","title":{"rendered":"\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u7528\u9014\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u8be5\u6982\u5ff5\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>\u8be5\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4<\/strong>\u662f\u4e3a\u603b\u4f53\u6bd4\u4f8b\u63d0\u4f9b\u53ef\u63a5\u53d7\u503c\u8303\u56f4\u7684\u533a\u95f4\u3002\u5373\uff0c\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u8868\u793a\u4eba\u53e3\u6bd4\u4f8b\u5904\u4e8e\u5176\u95f4\u4e14\u5177\u6709\u8bef\u5dee\u8303\u56f4\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7f6e\u4fe1\u6c34\u5e73\u4e3a 95% \u7684\u603b\u4f53\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u4e3a (0.73, 0.81)\uff0c\u5219\u8fd9\u610f\u5473\u7740\u603b\u4f53\u6bd4\u4f8b\u5728 73% \u5230 81% \u4e4b\u95f4\u7684\u6982\u7387\u4e3a 95%\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u7528\u4e8e\u4f30\u8ba1\u6ee1\u8db3\u67d0\u4e9b\u7279\u5f81\u7684\u603b\u4f53\u6bd4\u4f8b\u7684\u503c\u3002<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u5c06\u5728\u4e0b\u4e00\u8282\u4e2d\u770b\u5230\u7684\uff0c\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u53d6\u51b3\u4e8e\u6837\u672c\u6bd4\u4f8b\u548c\u6837\u672c\u4e2d\u7684\u89c2\u6d4b\u503c\u6570\u91cf\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-proporcion\"><\/span>\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u901a\u8fc7\u4ece\u6837\u672c\u6bd4\u4f8b\u4e2d\u6dfb\u52a0\u548c\u51cf\u53bb Z <sub>\u03b1\/2<\/sub>\u7684\u503c\u4e58\u4ee5\u6837\u672c\u6bd4\u4f8b\u7684\u5e73\u65b9\u6839 (p) \u4e58\u4ee5 1-p \u518d\u9664\u4ee5\u6837\u672c\u5927\u5c0f (n) \u6765\u8ba1\u7b97\u7684\u3002\u56e0\u6b64\uff0c<strong>\u8ba1\u7b97\u6bd4\u4f8b\u7f6e\u4fe1\u533a\u95f4\u7684\u516c\u5f0f<\/strong>\u4e3a\uff1a<\/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\u5b50\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>\u662f\u6837\u672c\u6bd4\u4f8b\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>\u662f\u6837\u672c\u5927\u5c0f\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>\u662f\u5bf9\u5e94\u4e8e \u03b1\/2 \u6982\u7387\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u5206\u4f4d\u6570\u3002\u5bf9\u4e8e\u5927\u6837\u672c\u91cf\u548c 95% \u7f6e\u4fe1\u6c34\u5e73\uff0c\u5b83\u901a\u5e38\u63a5\u8fd1 1.96\uff1b\u5bf9\u4e8e 99% \u7f6e\u4fe1\u6c34\u5e73\uff0c\u5b83\u901a\u5e38\u63a5\u8fd1 2.576\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>\u8ba1\u7b97\u6bd4\u4f8b\u7f6e\u4fe1\u533a\u95f4\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u8be5\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u6211\u4eec\u5728\u4e0b\u9762\u4e00\u6b65\u4e00\u6b65\u5730\u4e3a\u60a8\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u4e00\u5bb6\u4fdd\u9669\u516c\u53f8\u60f3\u8981\u8fdb\u884c\u5e02\u573a\u8c03\u67e5\u5e76\u786e\u5b9a\u4e00\u4e2a\u56fd\u5bb6\u6709\u591a\u5c11\u4eba\u62e5\u6709\u4eba\u5bff\u4fdd\u9669\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5bf9 700 \u4eba\u7684\u968f\u673a\u6837\u672c\u8fdb\u884c\u4e86\u5206\u6790\uff0c\u5f97\u51fa\u7684\u7ed3\u8bba\u662f\uff0c40% \u7684\u6837\u672c\u62e5\u6709\u4eba\u5bff\u4fdd\u9669\u3002\u8be5\u56fd\u4eba\u53e3\u6bd4\u4f8b\u5728 95% \u7f6e\u4fe1\u6c34\u5e73\u4e0b\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u4e3a\u4e86\u786e\u5b9a\u603b\u4f53\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4e0a\u9762\u770b\u5230\u7684\u516c\u5f0f\uff1a<\/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>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u7f6e\u4fe1\u533a\u95f4\u7684\u7f6e\u4fe1\u5ea6\u4e3a95%\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u53d6\u7684Z <sub>\u03b1\/2<\/sub>\u503c\u4e3a1.96\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>\u95ee\u9898\u9648\u8ff0\u5df2\u7ecf\u544a\u8bc9\u6211\u4eec\u6837\u672c\u91cf\u4e3an=700\uff0c\u89c2\u5bdf\u5230\u7684\u6837\u672c\u6bd4\u4f8b\u4e3ap=0.40\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u6570\u636e\u4ee3\u5165\u8be5\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f\u5e76\u8ba1\u7b97\u533a\u95f4\u7684\u6781\u9650\uff1a <\/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>\u603b\u4e4b\uff0c\u7814\u7a76\u4eba\u7fa4\u7684\u6bd4\u4f8b\u5728 36% \u5230 44% \u4e4b\u95f4\uff0c\u7f6e\u4fe1\u5ea6\u4e3a 95%\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u65b9\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u7528\u9014\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u66f4 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-248","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 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