12. The manufacturer of the ColorSmart-5000 television set claims that 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 396 consumers who have owned a ColorSmart-5000 television set for five years. Of these 396 consumers, 311 say that their ColorSmart-5000 television sets did not need repair, while 85 say that their ColorSmart-5000 television sets did need at least one repair. (a) Letting p be the proportion of ColorSmart-5000 television sets that last five years without a single repair, set up the null and alternative hypotheses that the consumer group should use to attempt to show that the manufacturer's claim is false. Hop [(Click to select) v .95 versus Ha : p (Click to sel v | .95. (b) Use critical values and the previously given sample information to test the hypotheses you set up in part a by setting a equal to . 10, .05, .01, and .001. How much evidence is there that the manufacturer's claim is false? (Click to select) |Ho at each value of a; (Click to select) |evidence