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3/30/22, 2:24 PM Assignment Print View 6. Award: 10.00 points The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at

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3/30/22, 2:24 PM Assignment Print View 6. Award: 10.00 points 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 400 consumers who have owned a ColorSmart-5000 television set for five years. Of these 400 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 84 say their ColorSmart-5000 television sets did need at least one repair. (a) Find a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair. (Round your answers to 3 decimal places.) The 99 percent confidence interval is (b) Does this confidence interval provide strong evidence that the percentage of all ColorSmart- 5000 television sets that last at least five years without a single repair is less than the 95 percent claimed by the manufacturer? the interval is 0.95 References Worksheet Difficulty: 3 Hard Learning Objective: 09-05 Calculate and interpret a large sample confidence interval for a population proportion. https://ezto.mheducation.com/hm.tpx?todo=c15SinglePrintView&singleQuestionNo=6.&postSubmission View=13252714353525626&wid=1325271908... 1/1

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