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Let X1, X2, , Xn ~ N01, 1) be and iid sample. we want to test the hypothesis Ho: u = 0 vs. Ha: it

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Let X1, X2, , Xn ~ N01, 1) be and iid sample. we want to test the hypothesis Ho: u = 0 vs. Ha: it : H1: where in > 0. a) Derive the form of the rejection region at level or with NeymanPearson approach. 13) Suppose n = 78, ct. = 0.07 and pl = 1. Calculate the critical value and Type 11 error. c) For the hypothesis Ho: p = 0 vs. Ha: }.I. > 0., derive the form of the rejection region at level 0. with likelihood ratio approach. Suppose I? : 78. or : 0.07 and use R to graph the power function

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