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Eğitmen, tek popülasyonlu hipotez testlerinde (ortalama, oran, varyans/standart sapma) p değeri hesaplama yöntemlerini, z tablosu ve t tablosu kullanımını adım adım göstermektedir. Ayrıca, hipotez testlerinin üç farklı çeşidini (bir çeşit, iki çeşit ve çift taraflı) ele alarak, her biri için p değerinin nasıl hesaplanacağını ve hipotez kararının nasıl verileceğini örneklerle açıklamaktadır.","Videoda, p değerinin ne olduğu, bir hipotez testinde H reddetmemizi sağlayan en küçük anlamlı düzeye p değeri denildiği belirtilmektedir. Eğitmen, bu videonun ardından her bir durum için ayrı videolar hazırlayacağını ve p değerini bitirdikten sonra iki popülasyonlu durumlara geçileceğini, birinci tip hata olasılığı, ikinci tip hata olasılığı ve hipotezin gücü gibi kavramların da ele alınacağını söylemektedir."]},"endTime":2576,"title":"Hipotez Testlerinde P Değeri Kavramı ve Hesaplama","beginTime":0}],"fullResult":[{"index":0,"title":"P Değeri Kavramı","list":{"type":"unordered","items":["Hipotez testlerinde p değeri (p-value), sıfır hipotezi (H0) reddetmemizi sağlayan en küçük anlamlılık düzeyidir.","Hipotez testlerinde bir hipotezi reddetip reddetmemeyi iki yolla kontrol edebiliriz: kritik değer ve test istatistiği karşılaştırma ile veya p değeri ile anlamlılık düzeyi karşılaştırma ile.","P değeri bir olasılık değeridir ve hipotez testlerinde H0 reddedilip rededilmeyeceğini belirlemek için kullanılır."]},"beginTime":0,"endTime":94,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=0&ask_summarization=1"},{"index":1,"title":"Hipotez Testi Çözüm Yöntemleri","list":{"type":"unordered","items":["Hipotez testlerinde H0 reddedilip rededilmeyeceğini kontrol etmek için iki yol vardır: kritik değer ve test istatistiği karşılaştırma ile veya p değeri ile anlamlılık düzeyi karşılaştırma ile.","Kritik değer ve test istatistiği karşılaştırma yönteminde, popülasyon varyansı biliniyorsa z tablosu, bilinmiyorsa t tablosu veya χ² tablosu kullanılır.","P değeri yönteminde, p değeri ile anlamlılık düzeyi (alfa) karşılaştırılır ve p>alfa ise H0 reddedilir, p\u003calfa ise H0 reddedilemez."]},"beginTime":94,"endTime":410,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=94&ask_summarization=1"},{"index":2,"title":"P Değerinin Hesaplanması","list":{"type":"unordered","items":["P değeri hesaplaması, hipotez testi sorusunun hangi duruma ait olduğu (ortalama, oran veya varyans) ve popülasyon varyansının bilinip bilinmediği gibi faktörlere bağlıdır.","P değeri hesaplaması için z tablosu, t tablosu veya χ² tablosu kullanılır, ancak t ve χ² tablolarında p değeri genellikle tam olarak bulunamaz, aralık olarak belirlenir.","Videonun sonrasında, popülasyon varyansı bilinen ortalama için hipotez testi, popülasyon varyansı bilinmeyen ortalama için hipotez testi, oran için hipotez testi ve varyans için hipotez testi sorularının p değeri ile çözümü ayrı videolarda anlatılacaktır."]},"beginTime":410,"endTime":698,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=410&ask_summarization=1"},{"index":3,"title":"Hipotez Testlerinde P Değeri Hesaplama","list":{"type":"unordered","items":["Ortalama için hipotez testlerinde anlamlılık düzeyi (alfa) soruda verilecek, p değeri ise hesaplanacak.","Hipotez testleri üç çeşit olabilir: H0: μ = μ0, H1: μ \u003c μ0; H0: μ = μ0, H1: μ > μ0; H0: μ = μ0, H1: μ ≠ μ0.","Popülasyon varyansı bilinen durumlarda Z-test kullanılır, bilinmeyen durumlarda ise T-test kullanılır."]},"beginTime":712,"endTime":1023,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=712&ask_summarization=1"},{"index":4,"title":"P Değeri Hesaplama Yöntemleri","list":{"type":"unordered","items":["H1: μ \u003c μ0 durumunda, p değeri Z-test değerinden küçük olma olasılığıdır.","H1: μ > μ0 durumunda, p değeri Z-test değerinden büyük olma olasılığıdır.","H1: μ ≠ μ0 durumunda, Z-test değeri negatifse Z-test'ten küçük olma olasılığının 2 katı, pozitifse Z-test'ten büyük olma olasılığının 2 katıdır."]},"beginTime":1023,"endTime":1185,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=1023&ask_summarization=1"},{"index":5,"title":"Hipotez Reddetme Kararı","list":{"type":"unordered","items":["P değeri alfa değerinden küçükse (p \u003c α), H0 hipotezi reddedilir.","P değeri alfa değerinden büyükse (p > α), H0 hipotezi reddedilemez, yani \"H0 kabul edilir\" denmez, \"H0 reddedilemez\" denir.","P değeri alfa değerine eşitse, karar belirsiz kalır."]},"beginTime":1185,"endTime":1537,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=1185&ask_summarization=1"},{"index":6,"title":"Hipotez Testi ve P Değeri Hesaplama","list":{"type":"unordered","items":["Test istatistiklerine göre p değerini hesaplamak istiyoruz, ancak anlamlılık düzeyi (alfa) verilmemiş.","Test istatistiği için farklı gösterimler kullanılabilir (z-test, z), önemli olan kavramın ne olduğu değil, nasıl gösterildiği.","Varyans biliniyor olduğu için z tablosu kullanılacak."]},"beginTime":1539,"endTime":1694,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=1539&ask_summarization=1"},{"index":7,"title":"P Değeri Hesaplama Kuralları","list":{"type":"unordered","items":["P değeri hesaplamak için üç durum vardır: mü küçüktür mü, mü eşittir mü, mü eşit değildir mü.","mü küçüktür mü durumunda p değeri, z'nin test istatistiğinden küçük olma olasılığıdır.","mü eşit değildir mü durumunda, test istatistiği negatifse z'nin ondan küçük olma olasılığının iki katı, pozitifse z'nin pozitif değerlerden büyük olma olasılığının iki katıdır."]},"beginTime":1694,"endTime":1760,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=1694&ask_summarization=1"},{"index":8,"title":"P Değeri Hesaplamaları","list":{"type":"unordered","items":["Z tablosunda, test istatistiğinin hangi tarafı büyükse o değeri verir.","Z=2,5 için p değeri 0,978, bu değer çok büyük olduğu için hipotez reddedilemez.","Z=-1,84 için p değeri 0,0329, bu değer anlamlılık düzeyinden (0,15) küçük olduğu için hipotez reddedilebilir.","Z=0,40 için p değeri 0,655, bu değer anlamlılık düzeyinden büyük olduğu için hipotez reddedilemez."]},"beginTime":1760,"endTime":2113,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=1760&ask_summarization=1"},{"index":9,"title":"Çift Taraflı Hipotez Testi","list":{"type":"unordered","items":["Çift taraflı hipotez testinde mü=155, n=10, x̄=154,20, sigma=1,5 değerleri verilmiştir.","Anlamlılık düzeyi alfa=0,05 olarak belirlenmiştir.","Çift taraflı testte p değeri, test istatistiğinin pozitif veya negatif olması durumunda olasılığın iki katıdır."]},"beginTime":2113,"endTime":2213,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=2113&ask_summarization=1"},{"index":10,"title":"Hipotez Testi ve Z Test İstatistiği","list":{"type":"unordered","items":["Popülasyon varyansı bilinen ortalama için hipotez testinde, z test istatistiği x bar (örnek ortalaması) ile popülasyon ortalaması arasındaki farkın, standart sapma bölü kök n ile bölünmesiyle hesaplanır.","Z test istatistiğinin değeri -1,69 olarak hesaplanmıştır.","Çift taraflı hipotez testinde p değeri hesaplanırken, z'nin bu değeriyle ilgili olasılığın iki katı alınır."]},"beginTime":2217,"endTime":2315,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=2217&ask_summarization=1"},{"index":11,"title":"P Değeri Hesaplama ve Karar Verme","list":{"type":"unordered","items":["Z tablosundan -1,69 değeri için olasılık 0,045 bulunur ve 1'den çıkarılarak 0,955 değeri elde edilir.","P değeri 0,955 olarak hesaplanmıştır ve bu değer alfa (0,05) değerinden büyük olduğu için H0 hipotezi reddedilemez.","İngilizce'de bu durum \"fail to reject H0\" veya \"there is not enough evidence to reject H0\" şeklinde ifade edilir."]},"beginTime":2315,"endTime":2462,"href":"/video/preview/10801218464566495482?parent-reqid=1769564342788141-3613883299907912086-balancer-l7leveler-kubr-yp-vla-98-BAL&text=P+Marques&t=2315&ask_summarization=1"},{"index":12,"title":"P Değerinin Önemi ve Gelecek İçerik","list":{"type":"unordered","items":["P değeri, bir hipotez testinde H0 hipotezini reddetmemizi sağlayan en küçük anlamlı düzeydir.","Hipotez testi sorularını çözmek için kritik değer/test istatistiği karşılaştırması ile aynı şekilde p değeri ile anlamlı düzey karşılaştırması da yapılabilir.","Daha sonra ortalama, oran ve varyans için hipotez testi soruları ve çift popülasyonlu hipotez testleri ele 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