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 404 consumers who have owned a ColorSmart-5000 television set for five years. Of these 404 consumers, 313 say that their ColorSmart-5000 television sets did not need repair, while 91 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. HO: P 0.95 versus Ha: p 0.95 (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? HO at each value of a; evidence