{"id":751,"date":"2023-07-28T21:26:47","date_gmt":"2023-07-28T21:26:47","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b-z-%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-28T21:26:47","modified_gmt":"2023-07-28T21:26:47","slug":"%e6%af%94%e4%be%8b-z-%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b-z-%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u4e00\u6bd4\u4f8b z \u68c0\u9a8c\uff1a\u5b9a\u4e49\u3001\u516c\u5f0f\u548c\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5355\u6bd4\u4f8b z \u68c0\u9a8c<\/strong>\u7528\u4e8e\u5c06\u89c2\u5bdf\u5230\u7684\u6bd4\u4f8b\u4e0e\u7406\u8bba\u6bd4\u4f8b\u8fdb\u884c\u6bd4\u8f83\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u4ee5\u4e0b\u5185\u5bb9\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6309\u6bd4\u4f8b\u6267\u884c z \u68c0\u9a8c\u7684\u52a8\u673a\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7528\u4e8e\u6267\u884c\u5355\u6bd4\u4f8b z \u68c0\u9a8c\u7684\u516c\u5f0f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5982\u4f55\u6267\u884c\u5355\u6bd4\u4f8b z \u68c0\u9a8c\u7684\u793a\u4f8b\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u4e00\u6bd4\u4f8b Z \u68c0\u9a8c\uff1a\u52a8\u673a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u4e2a\u53bf\u8d5e\u6210\u67d0\u9879\u6cd5\u5f8b\u7684\u4eba\u53e3\u6bd4\u4f8b\u662f\u5426\u7b49\u4e8e 60%\u3002\u7531\u4e8e\u8be5\u53bf\u6709\u6570\u5343\u540d\u5c45\u6c11\uff0c\u5982\u679c\u8981\u56db\u5904\u8be2\u95ee\u6bcf\u4e2a\u5c45\u6c11\u5bf9\u6cd5\u5f8b\u7684\u7acb\u573a\uff0c\u6210\u672c\u592a\u9ad8\uff0c\u4e5f\u592a\u8017\u65f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u76f8\u53cd\uff0c\u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u4e00\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u7684\u968f\u673a\u5c45\u6c11\u6837\u672c<\/a>\uff0c\u5e76\u8be2\u95ee\u6bcf\u4e2a\u4eba\u662f\u5426\u652f\u6301\u8be5\u6cd5\u5f8b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7603\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ciprop1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u4eba\u53e3\u6bd4\u4f8b\u4f30\u7b97\u793a\u4f8b\" width=\"429\" height=\"400\"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u51e0\u4e4e\u53ef\u4ee5\u80af\u5b9a\u7684\u662f\uff0c\u6837\u672c\u4e2d\u652f\u6301\u8be5\u6cd5\u5f8b\u7684\u5c45\u6c11\u6bd4\u4f8b\u81f3\u5c11\u4f1a\u4e0e\u603b\u4eba\u53e3\u4e2d\u652f\u6301\u8be5\u6cd5\u5f8b\u7684\u5c45\u6c11\u6bd4\u4f8b\u6709\u6240\u4e0d\u540c\u3002<strong>\u95ee\u9898\u662f\u8fd9\u79cd\u5dee\u5f02\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027<\/strong>\u3002\u5e78\u8fd0\u7684\u662f\uff0c\u5355\u6bd4\u4f8b z \u68c0\u9a8c\u53ef\u4ee5\u8ba9\u6211\u4eec\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e00\u6bd4\u4f8bZ\u68c0\u9a8c\uff1a<\/strong><\/span><span style=\"color: #000000;\"><strong>\u516c\u5f0f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e00\u6bd4\u4f8b z \u68c0\u9a8c\u59cb\u7ec8\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> p = p <sub>0<\/sub> \uff08\u4eba\u53e3\u6bd4\u4f8b\u7b49\u4e8e\u5047\u8bbe\u7684\u4eba\u53e3\u6bd4\u4f8b p <sub>0<\/sub> \uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5907\u62e9\u5047\u8bbe\u53ef\u4ee5\u662f\u53cc\u8fb9\u7684\u3001\u5de6\u7684\u6216\u53f3\u7684\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u53cc\u5c3e\uff09\uff1a<\/strong> p \u2260 p <sub>0<\/sub> \uff08\u603b\u4f53\u6bd4\u4f8b\u4e0d\u7b49\u4e8e\u5047\u8bbe\u503c p <sub>0<\/sub> \uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u5de6\uff09\uff1a<\/strong> p &lt; p <sub>0<\/sub> \uff08\u4eba\u53e3\u6bd4\u4f8b\u5c0f\u4e8e\u5047\u8bbe\u503c p <sub>0<\/sub> \uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u53f3\uff09\uff1a<\/strong> p &gt; p <sub>0<\/sub> \uff08\u4eba\u53e3\u6bd4\u4f8b\u5927\u4e8e\u5047\u8bbe\u503c p <sub>0<\/sub> \uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97 z \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">z = (pp <sub>0<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p <sub>0<\/sub> (1-p <sub>0<\/sub> )\/n<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\uff1a<\/strong>\u89c2\u5bdf\u5230\u7684\u6837\u672c\u6bd4\u4f8b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>p <sub>0<\/sub> \uff1a<\/strong>\u5047\u8bbe\u7684\u4eba\u53e3\u6bd4\u4f8b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u4e0e z \u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684 p \u503c\u5c0f\u4e8e\u6240\u9009\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u5e38\u89c1\u9009\u62e9\u4e3a 0.10\u30010.05 \u548c 0.01\uff09\uff0c\u5219\u60a8\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e00\u6bd4\u4f8b Z \u68c0\u9a8c<\/strong><\/span><span style=\"color: #000000;\"><strong>\uff1a\u793a\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u4e2a\u53bf\u652f\u6301\u67d0\u9879\u6cd5\u5f8b\u7684\u5c45\u6c11\u6bd4\u4f8b\u662f\u5426\u7b49\u4e8e 60%\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u5728\u663e\u7740\u6027\u6c34\u5e73 \u03b1 = 0.05 \u4e0b\u6267\u884c\u5355\u6bd4\u4f8b z \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u6536\u96c6\u6837\u672c\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe<\/span><span style=\"color: #000000;\">\u6211\u4eec\u968f\u673a\u8c03\u67e5\u5c45\u6c11\u6837\u672c\u5e76\u83b7\u5f97\u4ee5\u4e0b\u4fe1\u606f\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\uff1a<\/strong>\u89c2\u5bdf\u5230\u7684\u6837\u672c\u6bd4\u4f8b = 0.64<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p <sub>0<\/sub> \uff1a<\/strong>\u5047\u8bbe\u4eba\u53e3\u6bd4\u4f8b = 0.60<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf = 100<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u6b65\uff1a\u5b9a\u4e49\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u5047\u8bbe\u8fdb\u884c\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> p = 0.60 (\u4eba\u53e3\u6bd4\u4f8b\u7b49\u4e8e0.60)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> p \u2260 0.60\uff08\u4eba\u53e3\u6bd4\u4f8b\u4e0d\u7b49\u4e8e0.60\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97<em>z<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (pp <sub>0<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p <sub>0<\/sub> (1-p <sub>0<\/sub> )\/n<\/span> = (.64-.6) \/ \u221a <span style=\"border-top: 1px solid black;\">.6(1-.6)\/100<\/span> = <strong>0.816<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u8ba1\u7b97<em>z<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684 p \u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e Z \u5206\u6570\u5230 P \u503c\u8ba1\u7b97\u5668\uff0c\u4e0e z = 0.816 \u76f8\u5173\u7684\u53cc\u5c3e p \u503c\u4e3a<strong>0.4145<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c\u4e94\u6b65\uff1a\u5f97\u51fa\u7ed3\u8bba\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u4e0d\u4f4e\u4e8e\u6211\u4eec\u7684\u663e\u7740\u6027\u6c34\u5e73 \u03b1 = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u652f\u6301\u8be5\u6cd5\u5f8b\u7684\u5c45\u6c11\u6bd4\u4f8b\u4e0e0.60\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\u610f\uff1a<\/strong>\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u5730\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/z-\u68c0\u9a8c\u6bd4\u4f8b\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u4e00\u6bd4\u4f8b Z \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a>\u6765\u6267\u884c\u6574\u4e2a\u4e00\u6bd4\u4f8b Z \u68c0\u9a8c\u3002<\/em><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6bd4\u4f8b-z-\u68c0\u9a8c-excel\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5355\u6bd4\u4f8b Z \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/z-\u68c0\u9a8c\u6bd4\u4f8b\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u4e00\u4efd\u6bd4\u4f8b Z \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u6bd4\u4f8b z \u68c0\u9a8c\u7528\u4e8e\u5c06\u89c2\u5bdf\u5230\u7684\u6bd4\u4f8b\u4e0e\u7406\u8bba\u6bd4\u4f8b\u8fdb\u884c\u6bd4\u8f83\u3002 \u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u4ee5\u4e0b\u5185\u5bb9\uff1a \u6309\u6bd4\u4f8b\u6267\u884c z \u68c0\u9a8c\u7684\u52a8\u673a\u3002  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-751","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e00\u6bd4\u4f8b Z \u68c0\u9a8c\uff1a\u5b9a\u4e49\u3001\u516c\u5f0f\u548c\u793a\u4f8b - Statory<\/title>\n<meta name=\"description\" content=\"\u5173\u4e8e\u5982\u4f55\u6267\u884c\u5355\u6bd4\u4f8b z \u68c0\u9a8c\u7684\u7b80\u5355\u8bf4\u660e\uff0c\u5305\u62ec\u5206\u6b65\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u6bd4\u4f8b-z-\u68c0\u9a8c\/\" \/>\n<meta property=\"og:locale\" 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