3. suppose that the proportion p of defective items in a large population of items is unknown, and that it is desired to test the following hypotheses: h0: p = 0.2, h1: p = 0.2. suppose also that a random sample of 20 items is drawn from the population. let y denote the number of defective items in the sample, and consider a test procedure δ such that the critical region contains all the outcomes for which either y ≥ 7 or y ≤ 1. a. determine the value of the power function π(p|δ) at the points p = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 1; sketch the power function. b. determine the size of the test.