Question

Public Libraries and Gender

A survey¹ asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below.

	Yes	No	Total
Females	726	697	1423
Males	505	824	1329
Total	1231	1521	2752

Table 1: Have you visited a public library in the last year?

¹Rainie, L., “Libraries and Learning,” www.pewinternet.org/2016/04/07/libraries-and-learning/, Pew Research Center, April 7, 2016.

(a) Find p^f and p^m, the sample proportions who have visited a public library in the last 12 months, for females and males respectively. What is the difference in sample proportions p^f-p^m?

Round your answers to three decimal places.

p^f= Enter your answer in accordance to item (a) of the question statement

p^m= Enter your answer in accordance to item (a) of the question statement

p^f-p^m=

(b) Find a 99% confidence interval for the difference in population proportions pf-pm.

Round your answers to two decimal places.

The 99% confidence interval is Enter your answer in accordance to item (b) of the question statement to

Answer 1