The manufacturer of the color smart 5000 television set claims 95% of it sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 366 consumers who have owned a color smart 5000 television set for five years. Of these 366 consumers, 309 say their color smart 5000 television sets did not need a repair, whereas 57 say the color smart 5000 television sets did need at least one repair.

Determine the sample size needed in order to be 99% confident that p, the sample proportion of color smart 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 five decimal places. Round your in answer to the next whole number.

1)

using p = _________ and z0.005 = 2.576

2)

n ________