3. Let X1,... , X, be IID Poisson(A) random variables. (а) Let A1 > do. Find the likelihood ratio for testing Ho: A= o versus H1:A = A1. (b) Determine a rejection region for a test at level a. A uniformly most powerful test is a test that is the most powerful test against each (c) alternative in the alternative hypothesis H1. Show that the likelihood ratio test is a uniformly most powerful test for Ho : A = do versus H1 :1> Ao.

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