Chapter 5.2, Problem 5.42E

(a)

To determine

To make a $95\%$ confidence statement about the percent of all adults women who felt that women had to give up too much.

Explanation of Solution

We are $95\%$ confident that the true percentage of women who feel that women have given up too much is between $45\%\text{ and 51\%}$ .

(b)

To determine

To explain why we can’t just say that $48\%$ of all adult women felt that women had to give up too much.

Explanation of Solution

We can't saythat $48\%$ of all adult women felt that women had to give up too much that because there is a margin of error that must be taken into account.

(c)

To determine

To explain clearly what “ $95\%$ confidence” means.

Explanation of Solution

If repeated samples were taken, the true population percentage would be contained in the confidence interval $95\%$ of the time.