The manufacturer of the Color Smart-5555 television set claims 90% of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 400 consumers who have owned a Color Smart-5555 television set for five years. Of these 400 consumers, 316 say their Color Smart- 5555 television sets did NOT need a repair. 4. Calculate a 90% confidence interval for the proportion of all Color Smart-5555 television sets that have lasted at least five years without needing a single repair. 5. Does this evidence support the claim of the manufacturer? Why or why not