{"id":277,"date":"2023-08-03T05:14:26","date_gmt":"2023-08-03T05:14:26","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%a8%e0%a4%ae%e0%a5%82%e0%a4%a8%e0%a4%be-%e0%a4%85%e0%a4%a8%e0%a5%81%e0%a4%aa%e0%a4%be%e0%a4%a4-%e0%a4%b5%e0%a4%bf%e0%a4%a4%e0%a4%b0%e0%a4%a3\/"},"modified":"2023-08-03T05:14:26","modified_gmt":"2023-08-03T05:14:26","slug":"%e0%a4%a8%e0%a4%ae%e0%a5%82%e0%a4%a8%e0%a4%be-%e0%a4%85%e0%a4%a8%e0%a5%81%e0%a4%aa%e0%a4%be%e0%a4%a4-%e0%a4%b5%e0%a4%bf%e0%a4%a4%e0%a4%b0%e0%a4%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%a8%e0%a4%ae%e0%a5%82%e0%a4%a8%e0%a4%be-%e0%a4%85%e0%a4%a8%e0%a5%81%e0%a4%aa%e0%a4%be%e0%a4%a4-%e0%a4%b5%e0%a4%bf%e0%a4%a4%e0%a4%b0%e0%a4%a3\/","title":{"rendered":"\u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923"},"content":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939, \u0906\u092a\u0915\u094b \u0905\u0928\u0941\u092a\u093e\u0924 \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930 \u0914\u0930, \u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0939\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u092e\u093f\u0932\u0947\u0917\u093e\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923<\/strong> (\u092f\u093e <strong>\u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923<\/strong> ) \u0935\u0939 \u0935\u093f\u0924\u0930\u0923 \u0939\u0948 \u091c\u094b \u0915\u093f\u0938\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0905\u0930\u094d\u0925\u093e\u0924\u094d, \u0915\u093f\u0938\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0928\u092e\u0942\u0928\u094b\u0902 \u0915\u093e <a href=\"https:\/\/statorials.org\/hi\/\u0928\u092e\u0942\u0928\u0947-\u0915\u093e-\u0905\u0928\u0941\u092a\u093e\u0924\/\">\u0928\u092e\u0942\u0928\u093e \u0905\u0928\u0941\u092a\u093e\u0924,<\/a> \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0909\u0928 \u0938\u092d\u0940 \u0928\u092e\u0942\u0928\u094b\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0915\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u091a\u0941\u0928\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u0917\u0923\u0928\u093e \u0915\u093f\u090f \u0917\u090f \u0928\u092e\u0942\u0928\u093e \u0905\u0928\u0941\u092a\u093e\u0924\u094b\u0902 \u0915\u093e \u0938\u0947\u091f \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u0947 \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0917\u0920\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u092f\u0926\u093f \u0906\u092a \u0938\u094b\u091a \u0930\u0939\u0947 \u0939\u0948\u0902 \u0915\u093f \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u093f\u0938 \u0932\u093f\u090f \u0939\u0948, \u0924\u094b \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u090f\u0915\u0932 \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0924\u0947 \u0938\u092e\u092f \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u0947 \u092e\u0942\u0932\u094d\u092f \u0915\u0947 \u0915\u0930\u0940\u092c \u092a\u0939\u0941\u0902\u091a\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 <\/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>\u0926\u0947\u0916\u0947\u0902:<\/strong> <a href=\"https:\/\/statorials.org\/hi\/\u092e\u093e\u0927\u094d\u092f-\u0915\u093e-\u0928\u092e\u0942\u0928\u093e-\u0935\u093f\u0924\u0930\u0923\/\">\u092e\u093e\u0927\u094d\u092f \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0906\u0928\u0941\u092a\u093e\u0924\u093f\u0915 \u0928\u092e\u0942\u0928\u093e\u0915\u0930\u0923 \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902, \u091c\u092c \u0939\u092e \u0915\u093f\u0938\u0940 \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0938\u092b\u0932\u0924\u093e \u0915\u0947 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f, \u0905\u0927\u094d\u092f\u092f\u0928 \u092e\u0947\u0902 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u090f\u0915 <a href=\"https:\/\/statorials.org\/hi\/\u0926\u094d\u0935\u093f\u092a\u0926-\u092c\u0902\u091f\u0928-1\/\">\u0926\u094d\u0935\u093f\u092a\u0926 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u093e<\/a> \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0915\u0947\u0902\u0926\u094d\u0930\u0940\u092f \u0938\u0940\u092e\u093e \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, \u092c\u0921\u093c\u0947 \u0906\u0915\u093e\u0930 (n&gt;30) \u0915\u0947 \u0932\u093f\u090f \u0939\u092e \u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094b \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0915\u0930\u0940\u092c \u0932\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f, <strong>\u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0924\u093e \u0939\u0948:<\/strong><\/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-f3408076893f390bb65baecfe38e6eff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{p}=p \\qquad \\sigma_{p}=\\sqrt{\\frac{pq}{n}}\\\\[4ex]\\displaystyle N_{p}\\left(p, \\sqrt{\\frac{pq}{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"168\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0938\u094b\u0928\u093e<\/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-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> \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948 \u0914\u0930<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0935\u093f\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> <strong>\u0928\u094b\u091f:<\/strong> \u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094b \u0915\u0947\u0935\u0932 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u0940 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u092f\u0926\u093f<\/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-88e275a965c091eb810599a07b0f8d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>30&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;52&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-41130f51ca4b83f1bf25b9dde90ecbfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"np\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0914\u0930<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0af2ac5b6eb874f65b406b3bc39f0c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"nq\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> . <\/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>\u0926\u0947\u0916\u0947\u0902:<\/strong> <a href=\"https:\/\/statorials.org\/hi\/\u0938\u093e\u092e\u093e\u0928\u094d\u092f-\u0935\u093f\u0924\u0930\u0923\/\">\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923<\/a><\/div>\n<p> \u0907\u0938\u0932\u093f\u090f, \u091a\u0942\u0902\u0915\u093f \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u0947 \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u094b \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, <strong>\u0907\u0938\u0932\u093f\u090f \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930<\/strong> \u0939\u0948:<\/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-5b7a4224240587268d0dd7865a33ac31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"78\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0938\u094b\u0928\u093e:<\/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-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> \u0928\u092e\u0942\u0928\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948.<\/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-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> \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948.<\/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-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 \u0935\u093f\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/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> \u0928\u092e\u0942\u0928\u093e \u0906\u0915\u093e\u0930 \u0939\u0948.<\/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-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> \u092e\u093e\u0928\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0924\u0930\u0923 N(0,1) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u090f\u0915 \u091a\u0930 \u0939\u0948\u0964 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-proporcion\"><\/span> \u0906\u0928\u0941\u092a\u093e\u0924\u093f\u0915 \u0928\u092e\u0942\u0928\u093e\u0915\u0930\u0923 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0920\u094b\u0938 \u0909\u0926\u093e\u0939\u0930\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u090f\u0915 \u092c\u093e\u0930 \u091c\u092c \u0939\u092e\u0928\u0947 \u0906\u0928\u0941\u092a\u093e\u0924\u093f\u0915 \u0928\u092e\u0942\u0928\u093e\u0915\u0930\u0923 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0926\u0947\u0916\u0940 \u0914\u0930 \u0907\u0938\u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0938\u0942\u0924\u094d\u0930 \u0915\u094d\u092f\u093e \u0939\u0948\u0902, \u0924\u094b \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091a\u0930\u0923 \u0926\u0930 \u091a\u0930\u0923 \u0939\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0928\u0940\u091a\u0947 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li> \u090f\u0915 \u0914\u0926\u094d\u092f\u094b\u0917\u093f\u0915 \u0915\u0902\u092a\u0928\u0940 \u090f\u0915 \u0915\u093e\u0930\u0916\u093e\u0928\u0947 \u0938\u0947 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u092c\u0948\u091a \u0916\u0930\u0940\u0926\u0924\u0940 \u0939\u0948 \u091c\u094b \u0915\u0947\u0935\u0932 3% \u0926\u094b\u0937\u092a\u0942\u0930\u094d\u0923 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u092d\u093e\u0917\u094b\u0902 \u0915\u093e \u0909\u0924\u094d\u092a\u093e\u0926\u0928 \u0915\u0930\u0928\u0947 \u0915\u093e \u0926\u093e\u0935\u093e \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938\u0947 \u091c\u093e\u0901\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0915\u0902\u092a\u0928\u0940 500 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u0911\u0930\u094d\u0921\u0930 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0924\u0940 \u0939\u0948\u0964 \u0928\u092e\u0942\u0928\u0947 \u092e\u0947\u0902 5% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0926\u094b\u0937\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0938\u094d\u0938\u0947 \u092e\u093f\u0932\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/li>\n<\/ul>\n<p> \u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902, \u091c\u093f\u0938 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0939\u092e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0909\u0938\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 0.03 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 q 0.97 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964<\/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-f4354c268853ec7b592bcacd23f3b214_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}p=0,03\\\\[2ex]q=1-p=0,97\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"130\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u091c\u093e\u0928\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f \u0935\u0947 \u0939\u092e\u0938\u0947 \u0915\u094d\u092f\u093e \u092a\u0942\u091b\u0924\u0947 \u0939\u0948\u0902, \u0939\u092e\u0947\u0902 \u0909\u0938 \u0938\u0942\u0924\u094d\u0930 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0940 \u091a\u093e\u0939\u093f\u090f \u091c\u094b \u0939\u092e\u0928\u0947 \u092a\u093f\u091b\u0932\u0947 \u0905\u0928\u0941\u092d\u093e\u0917 \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u0925\u093e:<\/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-647d67d275bb8a7fbeb60f7ae464c0fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}=\\cfrac{0,05-0,03}{\\displaystyle\\sqrt{\\frac{0,03\\cdot 0,97}{500}}}=2,62\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"264\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p> \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 5% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0926\u094b\u0937\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0938\u094d\u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:<\/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-a5e5cff61f2cc97762df561b3e35a7ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\left[\\widehat{p}>0,05\\right]=P[Z>2,62]=1-P[Z\\leq 2,62]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;360&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> \u0905\u0902\u0924 \u092e\u0947\u0902, \u0939\u092e <a href=\"https:\/\/statorials.org\/hi\/\u0938\u093e\u092e\u093e\u0928\u094d\u092f-\u0935\u093f\u0924\u0930\u0923-\u0924\u093e\u0932\u093f\u0915\u093e\/\">Z \u0935\u093f\u0924\u0930\u0923 \u0924\u093e\u0932\u093f\u0915\u093e<\/a> \u092e\u0947\u0902 P[Z\u22642.62] \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0924\u0932\u093e\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0938 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u0938\u092e\u0938\u094d\u092f\u093e \u0939\u092e\u0938\u0947 \u092a\u0942\u091b\u0924\u0940 \u0939\u0948:<\/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-812f9b97c53e15da88b0cb7149f254c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P\\left[\\widehat{p}>0,05\\right]=\\\\[2ex]=P[Z>2,62]=\\\\[2ex]=1-P[Z\\leq 2,62]=\\\\[2ex]=1-0,9956=\\\\[2ex]=0,0044\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;167&#8243; width=&#8221;162&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p> \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0924\u0903, \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u093f\u090f \u0917\u090f \u0928\u092e\u0942\u0928\u0947 \u092e\u0947\u0902 5% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0926\u094b\u0937\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0938\u094d\u0938\u0947 \u092e\u093f\u0932\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 0.44% \u0939\u0948\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939, \u0906\u092a\u0915\u094b \u0905\u0928\u0941\u092a\u093e\u0924 \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930 \u0914\u0930, \u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0939\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u092e\u093f\u0932\u0947\u0917\u093e\u0964 \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948? \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 (\u092f\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093e \u0928\u092e\u0942\u0928\u093e \u0935\u093f\u0924\u0930\u0923 ) \u0935\u0939 \u0935\u093f\u0924\u0930\u0923 \u0939\u0948 \u091c\u094b \u0915\u093f\u0938\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0928\u092e\u0942\u0928\u0947 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