Suppose A is one observation from a population with beta(0,1) pdf. (a) For testing H0:
Question:
(a) For testing H0: θ ≤ 1 versus H1: θ > 1, find the size and sketch the power function of the test that rejects H0 if X > 1/2
(b) Find the most powerful level α test of H0: θ = 1 versus H1: θ = 2.
(c) Is there a UMP test of H0: θ ≤ 1 versus H1: θ > 1? If so, find it. If not, prove so.
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a The test is Reject H0 if X 12 So the power function is The size is sup ...View the full answer
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