On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence (to the nearest percent, not a proportion) did the statistician use in constructing this interval

Confidence level of 98%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

Estimate:

The estimate is the mean of the two endpoints of the confidence interval. So

Survey of 545 television viewers

This means that

What level of confidence (to the nearest percent, not a proportion) did the statistician use in constructing this interval

First we find z. The upper end is 0.24. So

has a pvalue of 0.99.

So

So a confidence level of 98%.

add an image

step-by-step explanation: