# Hypothesis testing problem:colorsmart-5000

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.

b Use rejection points 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?

c Do you think the results of the consumer group's survey have practical importance? Explain

https://brainmass.com/statistics/hypothesis-testing/119940

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