1) X is a random variable having pdf T(20) fx(1 0) =(@) r(e) 0-1 (1- 2) [(0,1) (2), where 0 c 0 = {1, 2}. (a) Using X as a test statistic, give the rejection region for the MP size 0.1 test of Ho : 0 = 1 vs. H1 : 0 = 2. (Suggestions: Sketch the pdf of X under both the null and alternative hypotheses, and then sketch the ratio of these two pdfs. (Since X has a uniform distribution if the null hypotheses is true, sketching the ratio of the pdfs should be simple.) From the sketch of the ratio of the pdfs, the form of the rejection region ought to be clear.) (b) Give the power of the test requested in part (a). (c) Considering the same test, what is the p-value if the one observes r = 0.42