Under the current manufacturing process, the proportion of computer chips that are defective is 0.4 and a new process is claimed to reduce that proportion. It is desired to test this claim statistically. n = 20, and X defined there. Let C = {0, 1, . . ., 5}. (a) Compute OC(p) for p = .2, .3, .4, .5, .6 and .7 and sketch OC(p). (b) Compute α. (c) Compute β(.2) (d) For C = {0, 1, . . . , k}, find k to make α as close to 0.05 as possible in the situation.