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3. Simple Testing W Bookmark this page Let X1. .... Xn bei.i.d. >(8, 1) . Consider testing Ho : 0 =0 v.s. H1 :0=1. (a) 2 points possible (graded) What would a Type 1 error be in this test? ORejecting Ho when 8=0 ONot Rejecting Ho when 0=0 ORejecting Ho when 8 = 1 Not rejecting Ho when e = 1 What would a Type 2 error be in this test? ORejecting Ho when 0=0 ONot Rejecting Ho when 0=0 ORejecting Ho when 0 = 1 Not rejecting Ho when e = 1 Submit You have used 0 of 1 attempt Save (b) 1 point possible (graded) Suppose that the rejection region of a test w has the form R = (X, : Xn > c) . Find the smallest c such that w has level a. (If applicable, type abs(x) for |x|, Phi(x) for @(x) = P(Z x) where Z ~ N(0, 1) , and q(alpha) for qu, the 1 - a quantile of a standard normal variable.) c2 STANDARD NOTATION Submit You have used 0 of 3 attempts 9 Save (c) 2 points possible (graded) Suppose that the test w has level a = 0.05 . What is the power of w? (If applicable, type abs(x) for [x|, Phi(x) for @ (x) = P(Z x) where Z ~ N(0, 1) , and q(alpha) for qu, the 1 - a quantile of a standard normal variable, e.g. enter q(0.01) for 90.01-) Power of w: What does the power of w approach as n - co ? lim Power =

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