In: Statistics and Probability
A survey 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 following Table.
Gender | Yes | No | Total |
Females | 726 | 697 | 1423 |
Males | 505 | 824 | 1329 |
Total | 1231 | 1521 | 2752 |
A) Find pf and Pm, the sample proportions who have visited a public library in the last 12 months, for females and males respectively. What is the difference in samle proportions Pf-Pm?
B) Find a 95% confidence interval for the difference in population proportions Pf-Pm.
c) Can we conclude from the confidence interval that there is a difference in the proportion? if so, are males or females more likely to visit the public library?