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 406 consumers who have owned a ColorSmart-5000 television set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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 406 consumers who have owned a ColorSmart-5000 television
set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 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
Transcribed Image Text: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 406 consumers who have owned a ColorSmart-5000 television set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 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
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