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In: Statistics and Probability

A survey asked a random sample of n=2752 US adults whether they had visited a public...

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?

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