{"id":289,"date":"2023-08-03T01:52:23","date_gmt":"2023-08-03T01:52:23","guid":{"rendered":"https:\/\/statorials.org\/cn\/z-%e6%a3%80%e9%aa%8c\/"},"modified":"2023-08-03T01:52:23","modified_gmt":"2023-08-03T01:52:23","slug":"z-%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/z-%e6%a3%80%e9%aa%8c\/","title":{"rendered":"Z \u68c0\u9a8c"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684 Z \u68c0\u9a8c\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8fdb\u884c Z \u68c0\u9a8c\u3001\u4e0d\u540c\u7684 Z \u68c0\u9a8c\u516c\u5f0f\uff0c\u4ee5\u53ca\u6700\u540e Z \u68c0\u9a8c\u4e0e\u5176\u4ed6\u7edf\u8ba1\u68c0\u9a8c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-prueba-z\"><\/span>\u4ec0\u4e48\u662f Z \u68c0\u9a8c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c <strong>Z \u68c0\u9a8c<\/strong>\u662f\u5f53\u68c0\u9a8c\u7edf\u8ba1\u91cf\u670d\u4ece\u6b63\u6001\u5206\u5e03\u65f6\u4f7f\u7528\u7684\u5047\u8bbe\u68c0\u9a8c\u3002\u4ece Z \u68c0\u9a8c\u83b7\u5f97\u7684\u7edf\u8ba1\u91cf\u79f0\u4e3a Z \u7edf\u8ba1\u91cf\u6216 Z \u503c\u3002<\/p>\n<p> Z \u68c0\u9a8c\u516c\u5f0f\u59cb\u7ec8\u76f8\u540c\uff0c\u66f4\u51c6\u786e\u5730\u8bf4\uff0cZ \u68c0\u9a8c\u7edf\u8ba1\u91cf\u7b49\u4e8e\u8ba1\u7b97\u7684\u6837\u672c\u503c\u4e0e\u5efa\u8bae\u603b\u4f53\u503c\u4e4b\u95f4\u7684\u5dee\u503c\u9664\u4ee5\u603b\u4f53\u53c2\u6570\u7684\u6807\u51c6\u5dee\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-5ad1fab5e2c6a8d32ae02f2e2d16d42c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{X}-X}{\\sigma_{_X}}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"92\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Z \u68c0\u9a8c\u7528\u4e8e\u62d2\u7edd\u6216\u63a5\u53d7\u5047\u8bbe\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\uff0c\u5176\u4e2d\u68c0\u9a8c\u7edf\u8ba1\u91cf\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002<\/p>\n<p>\u4f8b\u5982\uff0cZ \u68c0\u9a8c\u7528\u4e8e\u5728\u603b\u4f53\u65b9\u5dee\u5df2\u77e5\u65f6\u68c0\u9a8c\u5747\u503c\u7684\u5047\u8bbe\uff0c\u4ee5\u4fbf\u62d2\u7edd\u6216\u63a5\u53d7\u5173\u4e8e\u603b\u4f53\u5747\u503c\u7684\u5047\u8bbe\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\/\u5047\u8bbe\u68c0\u9a8c1\/\">\u4ec0\u4e48\u662f\u5047\u8bbe\u68c0\u9a8c\uff1f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-pruebas-z\"><\/span> Z \u68c0\u9a8c\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6839\u636e\u6267\u884c\u5047\u8bbe\u68c0\u9a8c\u7684\u53c2\u6570\uff0c\u53ef\u4ee5\u533a\u5206\u4e0d\u540c\u7c7b\u578b\u7684 Z \u68c0\u9a8c\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5747\u503c Z \u68c0\u9a8c\u3002<\/strong><\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6bd4\u4f8b Z \u68c0\u9a8c\u3002<\/strong><\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Z \u68c0\u9a8c\u5747\u503c\u5dee\u5f02\u3002<\/strong><\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Z \u68c0\u9a8c\u6bd4\u4f8b\u5dee\u5f02\u3002<\/strong><\/span><\/li>\n<\/ul>\n<p>\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u6bcf\u79cd\u7c7b\u578b Z \u68c0\u9a8c\u7684\u516c\u5f0f\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-z-para-la-media\"><\/span>\u5747\u503c Z \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5747\u503c\u7684 Z \u68c0\u9a8c\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-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{\\sigma}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5747\u503c\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u5efa\u8bae\u7684\u5e73\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u603b\u4f53\u6807\u51c6\u5dee\u3002<\/li>\n<li>\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<\/ul>\n<p>\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u540e\uff0c\u5e94\u5c06\u7ed3\u679c\u89e3\u91ca\u4e3a\u62d2\u7edd\u6216\u62d2\u7edd\u539f\u5047\u8bbe\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u53cc\u5411\u7684\uff0c\u5219\u5f53\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1\/2<\/sub>\u65f6\uff0c\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u53f3\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u5de6\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c -Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0e2ccadfc369eb7543b8f86dfccc528e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Z\u68c0\u9a8c\u7684\u4e34\u754c\u503c\u662f\u4ece\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u4e2d\u83b7\u5f97\u7684\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\u5047\u8bbe\u68c0\u9a8c\/\">\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-z-para-la-proporcion\"><\/span>\u6bd4\u4f8b Z \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6bd4\u4f8b\u7684Z\u68c0\u9a8c\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-e2f5ad36dae72cd89279809ab3ea6d20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"123\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6bd4\u4f8b\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6837\u672c\u6bd4\u4f8b\u3002<\/li>\n<li>\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\u5efa\u8bae\u6bd4\u4f8b\u7684\u503c\u3002<\/li>\n<li>\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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-661a2bbf8dccd197bcf450330420cbc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -13px;\"><\/p>\n<p>\u662f\u6bd4\u4f8b\u7684\u6807\u51c6\u5dee\u3002<\/li>\n<\/ul>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u4ec5\u8ba1\u7b97\u6bd4\u4f8b\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u662f\u4e0d\u591f\u7684\uff0c\u60a8\u8fd8\u5fc5\u987b\u89e3\u91ca\u83b7\u5f97\u7684\u7ed3\u679c\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u8be5\u6bd4\u4f8b\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u53cc\u5411\u7684\uff0c\u5219\u5f53\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1\/2<\/sub>\u65f6\uff0c\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u8be5\u6bd4\u4f8b\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u53f3\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u6bd4\u4f8b\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u5de6\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c -Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d5bd583532769e3014286e8ffd94c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: p\\neq p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: p> p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: p< p_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"437\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\/\u6bd4\u4f8b\u5047\u8bbe\u68c0\u9a8c\/\">\u6bd4\u4f8b\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-z-para-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u5f02\u7684 Z \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5747\u503c\u5dee\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\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-0b7968d96046c1f555a7c95e7c3c408e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"203\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5df2\u77e5\u65b9\u5dee\u7684\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u9075\u5faa\u6807\u51c6\u6b63\u6001\u5206\u5e03\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u603b\u4f53 1 \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u603b\u4f53 2 \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c 1 \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c 2 \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-802bfc799b8f222d7b47270e1569770b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u603b\u4f53 1 \u7684\u6807\u51c6\u5dee\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-063ad2fadbc81bd1df35589566b0bd16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u603b\u4f53 2 \u7684\u6807\u51c6\u5dee\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u91cf 1\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u91cf 2\u3002 <\/li>\n<\/ul>\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\/\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\/\">\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-z-para-la-diferencia-de-proporciones\"><\/span>\u6bd4\u4f8b\u5dee\u5f02\u7684 Z \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u8ba1\u7b97\u4e24\u4e2a\u603b\u4f53\u6bd4\u4f8b\u5dee\u5f02\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\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-161267e1562535b8ded23017389e0807_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle (\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle \\sqrt{p_0(1-p_0)\\left(\\frac{1}{n_1}+\\frac{1}{n_2}\\right)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"229\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6bd4\u4f8b\u5dee\u5f02\u7684 Z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-023bcfb3fa329ff4f481163d36b65bf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u4eba\u53e3\u6bd4\u4f8b1\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1a0ac2d00900c29ac35c13956874c642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u4eba\u53e3\u6bd4\u4f8b2\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4c76b176c372799a3a3a7aa8858eecf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6837\u672c1\u7684\u6bd4\u4f8b\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cd7916af5298a603fad64ab8fb2501a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6837\u672c\u6bd4\u4f8b2\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u91cf 1\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u91cf 2\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ccd892ed2f60029f47331cf785d30482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u4e24\u4e2a\u6837\u672c\u7684\u603b\u6bd4\u4f8b\u3002<\/li>\n<\/ul>\n<p>\u4e24\u4e2a\u6837\u672c\u7684\u5408\u5e76\u6bd4\u4f8b\u8ba1\u7b97\u5982\u4e0b\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-6f349422474d622468a6a14f445f2eb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_0=\\cfrac{x_1+x_2}{n_1+n_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"102\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c iy \u4e2d\u7684\u7ed3\u679c\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u5927\u5c0f i\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\/\u6bd4\u4f8b\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\/\">\u6bd4\u4f8b\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-una-prueba-z\"><\/span>\u5982\u4f55\u8fdb\u884c Z \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u4e86\u89e3\u4e86\u4e0d\u540c\u7684 Z \u68c0\u9a8c\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u6267\u884c Z \u68c0\u9a8c\u3002<\/p>\n<p>\u6267\u884c Z \u68c0\u9a8c\u7684\u6b65\u9aa4\u5982\u4e0b\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\">\u5b9a\u4e49\u5047\u8bbe\u68c0\u9a8c\u7684<a href=\"https:\/\/statorials.org\/cn\/\u96f6\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\/\">\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe<\/a>\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\">\u786e\u5b9a\u5047\u8bbe\u68c0\u9a8c\u7684<a href=\"https:\/\/statorials.org\/cn\/\u663e\u7740\u6027\u6c34\u5e73\/\">\u03b1 (\u03b1) \u663e\u7740\u6027\u6c34\u5e73<\/a>\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\">\u9a8c\u8bc1\u662f\u5426\u6ee1\u8db3\u4f7f\u7528 Z \u6d4b\u8bd5\u7684\u8981\u6c42\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\">\u5e94\u7528\u76f8\u5e94\u7684 Z \u68c0\u9a8c\u516c\u5f0f\u5e76\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\">\u901a\u8fc7\u5c06 Z \u6d4b\u8bd5\u7ed3\u679c\u4e0e\u4e34\u754c\u6d4b\u8bd5\u503c\u8fdb\u884c\u6bd4\u8f83\u6765\u89e3\u91ca Z \u6d4b\u8bd5\u7ed3\u679c\u3002<\/span><\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-z-y-prueba-t\"><\/span>Z \u68c0\u9a8c\u548c t \u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u4e86\u89e3 Z \u68c0\u9a8c\u548c t \u68c0\u9a8c\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u5b83\u4eec\u80af\u5b9a\u662f\u7edf\u8ba1\u5b66\u4e2d\u6700\u5e38\u7528\u7684\u4e24\u79cd\u5047\u8bbe\u68c0\u9a8c\u3002<\/p>\n<p> <strong>t \u68c0\u9a8c<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u5b66\u751f t \u68c0\u9a8c<\/strong>\uff0c\u662f\u5f53\u6240\u7814\u7a76\u7684\u603b\u4f53\u670d\u4ece\u6b63\u6001\u5206\u5e03\u4f46\u6837\u672c\u91cf\u592a\u5c0f\u800c\u65e0\u6cd5\u4e86\u89e3\u603b\u4f53\u65b9\u5dee\u65f6\u4f7f\u7528\u7684\u5047\u8bbe\u68c0\u9a8c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u4f7f\u7528 Z \u68c0\u9a8c\u548c t \u68c0\u9a8c\u4e4b\u95f4\u7684\u4e3b\u8981\u533a\u522b<\/strong>\u5728\u4e8e\u65b9\u5dee\u662f\u5426\u5df2\u77e5\u3002\u5f53\u603b\u4f53\u65b9\u5dee\u5df2\u77e5\u65f6\uff0c\u91c7\u7528Z\u68c0\u9a8c\uff1b\u5f53\u603b\u4f53\u65b9\u5dee\u672a\u77e5\u65f6\uff0c\u91c7\u7528t\u68c0\u9a8c\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\/\u5b66\u751ft\u68c0\u9a8c\/\">t \u68c0\u9a8c\uff08\u7edf\u8ba1\uff09<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684 Z \u68c0\u9a8c\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8fdb\u884c Z \u68c0\u9a8c\u3001\u4e0d\u540c\u7684 Z 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