this is the question... it is complete

The manufacturer of the ColorSmart-5000 television set claims 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 356 consumers who have owned a ColorSmart-5000 television set for five years. Of these 356 consumers, 322 say their ColorSmart-5000 television sets did not need a repair, whereas 34 say their ColorSmart-5000 television sets did need at least one repair. Determine the sample size needed in order to be 99 percent confident that p, the sample proportion of ColorSmart-5000 television sets that last at least five years without a single repair, is within a margin of error of .03 of p, the population proportion of sets that last at least five years without a single repair. (Round your p answer to 5 decimal places. Round your n answer to the next whole number.) Using p = and z0.005 = 2.576 n