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Let X1, X2, .... An be iid observations from a Beta(u, 1), and Yl. Y2, ..., I'm be iid observations from a Beta( 0. 1). Also assume that .X's are independent of Y's. a) Formulate the Likelihood Ratio Test for testing Ho: u = 0 vs. Hi: u # 0. Please show the steps of deriving the test statistics. (10 points) b) Show that the test in part (a) can be based on the statistic (6 points) T = Clog X [log X, + [logY Note: For X ~ Beta(a, 1), f (x) = axa