Answer to Question #150724 in Statistics and Probability for ELISYA SARIFAH ANAK SAMPURAI

Question

The manufacturer of the ColourSmart television claims that 85% of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selected 400 consumers who have owned a ColourSmart television set for five years. Of these 400 consumers, 65 say that their ColourSmart television sets did need at least one repair.
Obtain the point estimate for the proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair. (1M)
Determine whether the condition is satisfied to use the large sample formula (2M)

Find a 99% confidence interval for the true proportion of all ColourSmart television sets that have lasted at least five years without needing a single repair. (3M)

Answer 1

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