In a sample of 60 randomly selected students only 22 favored

In a sample of 60 randomly selected students, only 22 favored the amount budgeted for next year\'s intramural and interscholastic sports. The budget committee initially decided to construct a 99% confidence interval for the proportion of all students who support the proposed budget amount, but eventually settled on a 95% Cl instead. What can we say about the width of the 95% Cl?

Solution

The correct option is c because the 99% confidence interval would be wider (larger margin of error) than the 95% confidence interval, because it allows one to be more confident that the unknown population parameter is contained within the interval.