Let Xi,..., X10 be iid Bernoulli(p). (a) Find the most powerful test of size = .0547
Question:
(a) Find the most powerful test of size α = .0547 of the hypotheses H0: p = 1/2 versus H1: p = 1/4. Find the power of this test.
(b) For testing H0 : p ≤ 1/2 versus H1 : p > 1/2, find the size and sketch the power function of the test that rejects H0 if ∑10i=1 Xi ≥ 6.
(c) For what a levels does there exist a UMP test of the hypotheses in part (a)?
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a From Corollary 8313 we can base the test on i X i the sufficient statistic Let Y i X ...View the full answer
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