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Book: Probability and Statistical Inference (9th & 10th edition respectively) Chapter 8: Tests of Statistical Hypotheses Section 8.6...

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Statistics

Book: Probability and Statistical Inference (9th & 10thedition respectively)

Chapter 8: Tests of Statistical Hypotheses

Section 8.6 [Best Critical Regions]: Problem 8 (9th Edition) ORSection 8.7 [Best Critical Regions]: Problem 8 (10th Edition)

Here's Q.8. below,

Consider a random sampleX1,X2,...,Xnfrom a distribution with pdf f(x; θ) = θ(1 −x)θ−1, 0 < x < 1, where 0 <θ. Find the form of the uniformly most powerful test ofH0: θ = 1 againstH1: θ > 1.

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