Chapter 8.2, Problem 42E

(a)

To determine

Explain the reason for insufficient information to give confidence interval for men and women separately.

Answer to Problem 42E

Insufficient information to construct confidence interval for men and women separately.

Explanation of Solution

To construct a confidence interval information of sample proportion and sample size are required. Since the sample size for men and women are missing.

Hence, it is not possible to construct confidence interval for men and women separately.

(b)

To determine

Explain whether the margin of error for the confidence interval of 95% isless than, greater than or about equal to 0.03.

Answer to Problem 42E

The margin of error for the confidence interval of 95% will be greater than 0.03.

Explanation of Solution

Given information:

Confidence interval = 95%

Margin of error = 0.03

The sample size of women is less than the sample size of both men and women.

Since decreased in the size of sample result in a less accurate prediction thus increased in the margin of error.Thus, the margin of error for womenwill be greater than the 3% margin of error for men and women.

Hence, the margin of error for the confidence interval of 95% will be greater than 0.03.