{"id":262,"date":"2023-08-03T11:07:43","date_gmt":"2023-08-03T11:07:43","guid":{"rendered":"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/"},"modified":"2023-08-03T11:07:43","modified_gmt":"2023-08-03T11:07:43","slug":"oranti-icin-hipotez-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/","title":{"rendered":"Orant\u0131 i\u00e7in hipotez testi"},"content":{"rendered":"<p>Bu makale istatistikte oran hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle orant\u0131ya ili\u015fkin hipotez testinin form\u00fcl\u00fcn\u00fc ve ayr\u0131ca bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 tam olarak anlamak i\u00e7in ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-prueba-de-hipotesis-para-la-proporcion\"><\/span> Orant\u0131 i\u00e7in hipotez testi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Oran hipotez testi,<\/strong> bir pop\u00fclasyon oran\u0131na ili\u015fkin s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fini belirlemek i\u00e7in kullan\u0131lan istatistiksel bir y\u00f6ntemdir.<\/p>\n<p> Dolay\u0131s\u0131yla, hipotez test istatisti\u011finin oran ve anlaml\u0131l\u0131k d\u00fczeyine ili\u015fkin de\u011ferine ba\u011fl\u0131 olarak s\u0131f\u0131r hipotezi reddedilir veya kabul edilir.<\/p>\n<p> Hipotez testinin ayn\u0131 zamanda hipotez kar\u015f\u0131tl\u0131klar\u0131, hipotez testi veya anlaml\u0131l\u0131k testi olarak da adland\u0131r\u0131labilece\u011fini unutmay\u0131n. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> Oran i\u00e7in Hipotez Testi Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Oran i\u00e7in hipotez testi istatisti\u011fi, \u00f6rneklem oran\u0131ndaki farktan oran\u0131n \u00f6nerilen de\u011ferinin \u00e7\u0131kar\u0131lmas\u0131yla oran\u0131n standart sapmas\u0131na b\u00f6l\u00fcnerek elde edilen de\u011fere e\u015fittir.<\/p>\n<p> Bu nedenle <strong>oran i\u00e7in test hipotezi form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir:<\/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\"> Alt\u0131n:<\/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> orana ili\u015fkin hipotez testi istatisti\u011fidir.<\/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> \u00f6rnek oran\u0131d\u0131r.<\/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> \u00f6nerilen oran\u0131n de\u011feridir.<\/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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/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> oran\u0131n standart sapmas\u0131d\u0131r.<\/li>\n<\/ul>\n<p> Oran i\u00e7in hipotez testi istatisti\u011fini hesaplaman\u0131n yeterli olmad\u0131\u011f\u0131n\u0131, ancak sonucun yorumlanmas\u0131 gerekti\u011fini unutmay\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Oran i\u00e7in hipotez testi iki tarafl\u0131 ise, istatisti\u011fin mutlak de\u011feri Z <sub>\u03b1\/2<\/sub> kritik de\u011ferinden b\u00fcy\u00fckse s\u0131f\u0131r hipotezi reddedilir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Oran i\u00e7in hipotez testi sa\u011f kuyrukla e\u015fle\u015firse, istatisti\u011fin Z <sub>\u03b1<\/sub> kritik de\u011ferinden b\u00fcy\u00fck olmas\u0131 durumunda s\u0131f\u0131r hipotezi reddedilir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Oran i\u00e7in hipotez testi sol kuyrukla e\u015fle\u015firse, istatisti\u011fin -Z <sub>\u03b1<\/sub> kritik de\u011ferinden k\u00fc\u00e7\u00fck olmas\u0131 durumunda s\u0131f\u0131r hipotezi reddedilir.<\/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<p> Kritik de\u011ferlerin normal da\u011f\u0131l\u0131m tablosundan kolayl\u0131kla elde edilebilece\u011fini unutmay\u0131n. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-tablosu\/\">Normal da\u011f\u0131l\u0131m tablosu<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-prueba-de-hipotesis-para-la-proporcion\"><\/span> Oran i\u00e7in Hipotez Testi \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Oran hipotez testinin tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc g\u00f6rd\u00fckten sonra kavram\u0131 daha iyi anlamak i\u00e7in bir \u00f6rnek \u00e7\u00f6zece\u011fiz.<\/p>\n<ul>\n<li> \u00dcreticisine g\u00f6re belirli bir hastal\u0131\u011fa kar\u015f\u0131 ila\u00e7 %70 etkilidir. Ara\u015ft\u0131rmac\u0131lar oran\u0131n farkl\u0131 oldu\u011funa inand\u0131klar\u0131 i\u00e7in laboratuvarda bu ilac\u0131n etkinli\u011fini test ediyoruz. Bunun i\u00e7in ila\u00e7 1000 hastadan olu\u015fan bir \u00f6rneklem \u00fczerinde test ediliyor ve 641 ki\u015fi iyile\u015fiyor. Ara\u015ft\u0131rmac\u0131lar\u0131n hipotezini reddetmek veya reddetmemek i\u00e7in pop\u00fclasyon oran\u0131 \u00fczerinde %5 anlaml\u0131l\u0131k d\u00fczeyinde bir hipotez testi yap\u0131n.<\/li>\n<\/ul>\n<p> Bu durumda n\u00fcfus oran\u0131na ili\u015fkin hipotez testinin <a href=\"https:\/\/statorials.org\/tr\/bos-ve-alternatif-hipotez\/\">s\u0131f\u0131r hipotezi ve alternatif hipotezi<\/a> \u015f\u00f6yledir:<\/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-f7da8281eeecc022e2ec7daea6a9756e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: p=0,70\\\\[2ex] H_1:p\\neq 0,70 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"117\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6rnekteki ila\u00e7la iyile\u015fenlerin oran\u0131 \u015f\u00f6yle:<\/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-93865dbb1097265b35967f0138a51d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}=\\cfrac{641}{1000}=0,641\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"137\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Yukar\u0131da g\u00f6r\u00fclen form\u00fcl\u00fc uygulayarak orana ili\u015fkin hipotez testi istatisti\u011fini hesapl\u0131yoruz:<\/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-e689388b0a73e91c1e3d8812c2c4c42a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\displaystyle Z&amp;=\\frac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{p(1-p)}{n}}}\\\\[2ex]Z&amp;=\\frac{0,641-0,70}{\\displaystyle\\sqrt{\\frac{0,70\\cdot (1-0,70)}{1000}}}  \\\\[2ex] Z&amp;=-4,07\\end{aligned}}\" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan anlaml\u0131l\u0131k d\u00fczeyi 0,05 oldu\u011fundan ve bu iki y\u00f6nl\u00fc bir hipotez testi oldu\u011fundan testin kritik de\u011feri 1,96&#8217;d\u0131r. <\/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-f4aa318300c46315a36b7bbecbd57e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{0,025}=1,96\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -6px;\"><\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/onem-duzeyi\/\">\u00d6nem d\u00fczeyi 0,05<\/a><\/div>\n<p> Sonu\u00e7 olarak test istatisti\u011finin mutlak de\u011feri kritik de\u011ferden b\u00fcy\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedip alternatif hipotezi kabul ediyoruz. <\/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-06104fc4aa1cf5269aa8bc841cc05a9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|-4,07|=4,07>1,96 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;424&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ortalama-icin-hipotez-testi\/\">Ortalama i\u00e7in hipotez testi<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-dos-muestras\"><\/span> \u0130ki \u00f6rnek oran i\u00e7in hipotez testi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0130ki numunenin oranlar\u0131na y\u00f6nelik hipotez testi,<\/strong> iki farkl\u0131 pop\u00fclasyonun oranlar\u0131n\u0131n e\u015fit oldu\u011funu belirten bo\u015f hipotezi reddetmek veya kabul etmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Bu nedenle, iki \u00f6rnekli oranlar i\u00e7in bir hipotez testinin s\u0131f\u0131r hipotezi her zaman \u015f\u00f6yledir:<\/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-5572e3ad602776be8957247415435ef5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: p_1=p_2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"93\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Alternatif hipotez \u00fc\u00e7 se\u00e7enekten biri olabilir:<\/p>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{l}H_1:p_1\\neq p_2\\\\[2ex]H_1:p_1&gt;p_2\\\\[2ex]H_1:p_1 The combined ratio of the two samples is calculated as follows:[latex]p=\\cfrac {x_1+x_2}{n_1+n_2}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{l}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...H_1:p_1&gt;p_2\\\\[2ex]H_1:p_1 The combined ratio\nPlease use \\mathaccent for accents in math mode.\nleading text: ...\\[2ex]H_1:p_1 The combined ratio of the two\nPlease use \\mathaccent for accents in math mode.\nleading text: ...combined of the two samples is calculated\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nImproper \\prevdepth.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\n\n<\/pre>\n<p> \u0130ki \u00f6rnek oran i\u00e7in hipotez testi istatisti\u011fini hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/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-27dc38fa4280149a55c46c6753204c9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle \\frac{x_1}{n_1}-\\frac{x_2}{n_2}}{\\displaystyle \\sqrt{p(1-p)\\left(\\frac{1}{n_1}+\\frac{1}{n_2}\\right)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"214\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/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> iki \u00f6rneklemli oranlar i\u00e7in hipotez test istatisti\u011fidir.<\/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-d7aa45c8899989487fb32dab51a8f7d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rnek 1&#8217;deki sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r.<\/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-de02251c2c969c17b8633e299d9a2244_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rnek 2&#8217;deki sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r.<\/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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 1&#8217;dir.<\/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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 2&#8217;dir.<\/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> iki numunenin birle\u015fik oran\u0131d\u0131r. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-las-proporciones-de-k-muestras\"><\/span> k \u00f6rnek oran\u0131 i\u00e7in hipotez testi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>K \u00f6rne\u011finin oranlar\u0131na ili\u015fkin bir hipotez testinde ama\u00e7,<\/strong> farkl\u0131 pop\u00fclasyonlar\u0131n t\u00fcm oranlar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 veya tam tersine farkl\u0131 oranlar\u0131n olup olmad\u0131\u011f\u0131n\u0131 belirlemektir. Dolay\u0131s\u0131yla bu durumda s\u0131f\u0131r hipotezi ve alternatif hipotez \u015funlard\u0131r:<\/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-77d7e13b427dd927953473a6bfbe9a55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\text{Todas las proporciones son iguales}\\\\[2ex] H_1: \\text{No todas las proporciones son iguales} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"341\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu durumda t\u00fcm \u00f6rneklerin birle\u015fik oran\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/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-bd6eafe24ac6e33f95c11428cdf34b29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{\\displaystyle\\sum_{i=1}^k x_i}{\\displaystyle\\sum_{i=1}^k n_i}=\\cfrac{x_1+x_2+\\dots+x_k}{n_1+n_2+\\dots+n_k}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"250\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p> K \u00f6rnek oran\u0131 i\u00e7in hipotez testi istatisti\u011fini bulma form\u00fcl\u00fc \u015f\u00f6yledir: <\/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-bf14ba17db281bb65549da86f59a0b65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\chi^2 =\\sum_{i=1}^k \\frac{(x_i-e_i)^2}{e_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"146\" style=\"vertical-align: -21px;\"><\/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-7213d98c216b76fca752271158e4c7e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\chi^2 = \\frac{(x_1-e_1)^2}{e_1} +\\frac{(x_2-e_2)^2}{e_2} +\\dots+\\frac{(x_k-e_k)^2}{e_k}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"371\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/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-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> k \u00f6rneklem oran\u0131 i\u00e7in hipotez testi istatisti\u011fidir. Bu durumda istatistik ki-kare da\u011f\u0131l\u0131m\u0131n\u0131 takip eder.<\/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-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> \u00f6rnek i&#8217;deki sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r.<\/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-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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc i&#8217;dir.<\/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> t\u00fcm numunelerin birle\u015fik oran\u0131d\u0131r.<\/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-550848dfdd05b5c6464d4e22fbf52486_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rnek i&#8217;den beklenen isabetlerin say\u0131s\u0131d\u0131r. Birle\u015ftirilmi\u015f oran\u0131n \u00e7arp\u0131lmas\u0131yla hesaplan\u0131r.<\/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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne g\u00f6re<\/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> .<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte oran hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle orant\u0131ya ili\u015fkin hipotez testinin form\u00fcl\u00fcn\u00fc ve ayr\u0131ca bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 tam olarak anlamak i\u00e7in ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. Orant\u0131 i\u00e7in hipotez testi nedir? Oran hipotez testi, bir pop\u00fclasyon oran\u0131na ili\u015fkin s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fini belirlemek i\u00e7in kullan\u0131lan istatistiksel bir y\u00f6ntemdir. Dolay\u0131s\u0131yla, hipotez test [&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-262","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Oran i\u00e7in hipotez testi<\/title>\n<meta name=\"description\" content=\"Burada orant\u0131 hipotez testinin ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve orant\u0131 hipotezi testinin somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\" \/>\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\/tr\/oranti-icin-hipotez-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Oran i\u00e7in hipotez testi\" \/>\n<meta property=\"og:description\" content=\"Burada orant\u0131 hipotez testinin ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve orant\u0131 hipotezi testinin somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T11:07:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e2f5ad36dae72cd89279809ab3ea6d20_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/\",\"name\":\"\u25b7 Oran i\u00e7in hipotez testi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T11:07:43+00:00\",\"dateModified\":\"2023-08-03T11:07:43+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada orant\u0131 hipotez testinin ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve orant\u0131 hipotezi testinin somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Orant\u0131 i\u00e7in hipotez testi\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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