Problem 8.60 An urn contains two red balls, two white balls, and a fifth ball that is either red or white. Let p denote the probability of drawing a red ball. The null hypothesis is that the fifth ball is red.

(a) Describe the parameter space Θ.

(b) To test this hypothesis we draw 10 balls at random, one at a time (with replacement), and let X equal the number of red balls drawn. Using a rejection region of the form C = {X