A sample of size 1 from the pdf f Y (y) = (1 + )y ,

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A sample of size 1 from the pdf fY(y) = (1 + θ)yθ, 0 ≤ y ≤ 1, is to be the basis for testing

H0: θ = 1

versus

H1: θ < 1

The critical region will be the interval y ≤ 1/2. Find an expression for 1 − β as a function of θ.

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