Suppose Y is a random sample of size 1 from a population with density function f (
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Question:
Suppose Y is a random sample of size 1 from a population with density function
f(x)=x1 0<=x<=1
where > 0.
1. Sketch the power function of the test with rejection region Y > 0.5.
2. Based on the single observation Y, find a uniformly most powerful test of size for testing H0: = 1 versus HA: > 1.
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