A study to test the null hypothesis H,:0=0, against H, :0 = 6, by using a critical region C={x:T(x)

$A study to test the null hypothesis H,:0=0, against H, :0 = 6, by using a critical region C={x:T(x)<c}, where e is the critical value. Here, F,(z)=Pr (T <z;0) (a) denotes the sampling distribution of T(X) and t=T(x) denotes the reported sample statistic evaluated fot the data. %3D Demonstrate the size, a=F(c), power 1-ß = F, (c) _and p value, p = F, (t). (ii) Discover, if any of these three probabilities in Q2(a)(ii) depend solely on the null distribution and the critical value that the size of the test equal the p- (iii) value. By rearranging the inequality t < c, where c, = F$

Extracted text: A study to test the null hypothesis H,:0=0, against H, :0 = 6, by using a critical region C={x:T(x)< c,="" where="" c,="F"a(a)," prove="" that="" t="" being="" in="" the="" critical="" region="" is="" equivalent="" to="" the="" p="" value="" being="" less="" than="" or="" cqual="" to="" the="" size="" of="" the="" test.="">

Jun 07, 2022

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A study to test the null hypothesis H,:0=0, against H, :0 = 6, by using a critical region C={x:T(x)

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