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 406 consumers who have owned a ColorSmart-5000 television set for five years. Of these 406 consumers, 312 say that their ColorSmart-5000 television sets did not need repair, while 94 say that their ColorSmart-5000 television sets did need at least one repair.

• 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 manufacturers claim is false.