Chapter 8.1, Problem 10E

(a)

To determine

To Explain: the confidence interval.

Explanation of Solution

Given:

95% confidence interval for the correct difference in the proportions of younger teens and older teens that include wrong details in their profile

(0.120, 0.297)

It is 95% confident that the correct proportion of younger teens that include wrong details in their profile is between 0.120 and 0.297 higher than the correct proportion of older teens that include wrong information in their profile.

(b)

To determine

To Explain: the convincing evidence of a difference in the true proportion of younger and older teens of confidence interval.

Explanation of Solution

Given:

It is 95% confidence interval for the correct difference in the proportions of younger teens and older teens that include false information in their profile.

(0.120, 0.297)

It is observed that the confidence interval is not having 0 and therefore it is likely that there is no difference in the correct proportions of younger and older teens.

This then means that there is enough convincing proof in the true proportions of younger and older teens that include wrong information in their profile.