Please solve this question :

The manufacturer of the ColorSmart-SOOO television set claims 95 percent of its sets last at least five years without needing a single repair. In orderto test this claim. a consumer group randomly selects 392 consumers who have owned a ColorSmart-SOOO television set for five years. Of these 392 consumers. 314 say their ColorSmart-SOOO television sets did not need a repair, whereas 79 say their ColorSmart-EOOO television sets did need at least one repair. Determine the sample size needed in order to he 99 percent condent that p, the sample proportion of ColorSmart-SOOO 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 numben] Using p = and 10.005 = 2.5?6