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Q1. Let the pdf of X be f(x|0) = 010-1I(0 1, 2. To test the simple hypothesis oxO < a; < 1) for 0 QI.
Q1. Let the pdf of X be f(x|0) = 010-1I(0
1, 2. To test the simple hypothesis oxO < a; < 1) for 0 QI. Let the pdfofX be f (TIO) HO : O 1 against the alternative simple hypothesis I-II : O 2, We use a random sample Xl, X2 of size and define the critical region C { (Cl, c2) : 0.75 CIC2}. (a) Find the power function of the test. (b) Ifthe realized test statistic and X2tre 0.8 and 0.9, do we reject the Ho?
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