The manufacturer of the ColorSmart-5000 television set claims that 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 that their ColorSmart-5000 television sets did not need repair, while 84 say that their ColorSmart-5000 television sets did need at least one repair (e) Letting p be the proportion of ColorSmart-5000 television sets that last five years without a single repair, set up the null and alternative hypotheses that the consumer group should use to attempt to show that the manufacturer's claim is false. HO.P 095 versus Ha p 0.95 (b) Use critical values and the previously given sample information to test the hypotheses you set up in part a by setting a equal to 10, 05, 01, and 001. How much evidence is there that the manufacturer's claim is false? 4 HO at each value of o evidence

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12304
The manufacturer of the ColorSmart-5000 television set claims that 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 that their ColorSmart-5000 television sets did not need repair, while 84
say that their ColorSmart-5000 television sets did need at least one repair
(a) Letting p be the proportion of ColorSmart-5000 television sets that last five years without a single repair, set up the null and
alternative hypotheses that the consumer group should use to attempt to show that the manufacturer's claim is false
HO.P
095 versus Ha p
0.95
(b) Use critical values and the previously given sample information to test the hypotheses you set up in part a by setting a equal to 10,
05, 01, and 001. How much evidence is there that the manufacturer's claim is false?
4
HO at each value of o
evidence
Transcribed Image Text:12304 The manufacturer of the ColorSmart-5000 television set claims that 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 that their ColorSmart-5000 television sets did not need repair, while 84 say that their ColorSmart-5000 television sets did need at least one repair (a) Letting p be the proportion of ColorSmart-5000 television sets that last five years without a single repair, set up the null and alternative hypotheses that the consumer group should use to attempt to show that the manufacturer's claim is false HO.P 095 versus Ha p 0.95 (b) Use critical values and the previously given sample information to test the hypotheses you set up in part a by setting a equal to 10, 05, 01, and 001. How much evidence is there that the manufacturer's claim is false? 4 HO at each value of o evidence
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