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Chapter 6, Section 3-CI, Exercise 146 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= p^m= 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 to . (c) Can we conclude from the confidence interval that there is a difference in proportions? Yes No (d) Are males or females more likely to visit the public library? Males Females

Chapter 6, Section 3-CI, Exercise 146 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= p^m= 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 to . (c) Can we conclude from the confidence interval that there is a difference in proportions? Yes No (d) Are males or females more likely to visit the public library? Males Females

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Chapter 6, Section 3-CI, Exercise 146

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=

p^m=

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 to .

 
 

 
 
 
 
(c) Can we conclude from the confidence interval that there is a difference in proportions?


 

 

 Yes

 

 No
 
 
 

 
 
 
 
(d) Are males or females more likely to visit the public library?


 

 

 Males

 

 Females
 
 
 

 
 
 
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