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Let X1, . . . , Xn ∼ iid Beta(θ, 1). (a) Find the UMP test...

Let X1, . . . , Xn ∼ iid Beta(θ, 1). (a) Find the UMP test for H0 : θ ≥ θ0 vs H1 : θ < θ0. (b) Find the corresponding Wald test. (c) How do these tests compare and which would you prefer?

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