Question

Elly and Drew work together to collect data to estimate the percentage of their classmates who own a particular brand of shoe. Using the same data, Elly will construct a 90 percent confidence interval and Drew will construct a 99 percent confidence interval. Which of the following statements is true?a. The midpoint of Elly's interval will be greater than the midpoint of Drew's interval. b. The midpoint of Elly's interval will be less than the midpoint of Drew's interval. c. The width of Elly's interval will be greater than the width of Drew's interval. d. The width of Elly's interval will be less than the width of Drew's interval. e. The width of Elly's interval will be equal to the width of Drew's interval

Answer 1

Answer:

d. The width of Elly's interval will be less than the width of Drew's interval.

Step-by-step explanation:

The confidence level and the width of the confidence interval are direct proportional. This means that a confidence interval with a higher confidence level has a higher width.

For example, a 99 percent confidence interval is wider than a 90 percent confidence interval.

The midpoint of the confidence interval is the mean of the population, no matter the confidence level.

In this problem, we have that:

Elly: 90 percent CI

Drew: 99 percent CI

The correct answer is:

d. The width of Elly's interval will be less than the width of Drew's interval.