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.
