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Answer: (0.665 , 0.777)
Step-by-step explanation:
Given : Sample size of consumers: n=420 ;
Number of consumers say their ColorSmart-5000 television sets did not need a repair=303
The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair :
Significance level :
Critical value =
The confidence interval for population proportion is given by :_
i.e.
Hence, 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 = (0.665 , 0.777)