The manufacturer of the ColorSmart-5000 television set claims 95 percent of its

Question

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 420 consumers who have owned a ColorSmart-5000 television set for five years. Of these 420 consumers, 303 say their ColorSmart-5000 television sets did not need a repair, whereas 117 say their ColorSmart-5000 television sets did need at least one repair.

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.

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.

Explanation / Answer

Confidence Interval Estimate for the Proportion Data Sample Size 420 Number of Successes 303 Confidence Level 99% Intermediate Calculations Sample Proportion 0.721428571 Z Value -2.5758 Standard Error of the Proportion 0.0219 Interval Half Width 0.0563 Confidence Interval Interval Lower Limit 0.6651 Interval Upper Limit 0.7778

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.