The question is in the png uploaded. I’d like if someone could work through and show the steps can understand it, thank you!!!Let X1, X2, …, Xn be independent Uniform(0,0 + 1) distributed random vari-
ables. For testing Ho :0 = 0 vs H1:0 > 0.
1. Find the level a uniformly most powerful test. (18 points)
2. Calculate its power and compare it with the power of a naive test which
rejects the null if X1 > 1-a. Use your calculation to show that the power
of the former is indeed larger. (7 points)
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