Solution The maker of the Colorsmart-5000 television set claims 95% 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 possessed a colorsmart-5000 television set for five years. Of these 400 consumers 316 say their colorsmart-5000 television sets didn't need a repair, whereas 84 say their colorsmart-5000 television sets did want at least one repair. Find a 99 percent assurance interval for the proportion of all colorsmart-5000 television sets that have lasted at least five years without needing a single repair