2. A survey asked a random sample of 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: (a) Find the sample proportions who have visited a public library in the last 12 months for females and males respectively. Give proper notation. Find the difference in sample proportion with proper notation. (b) Find and give a meaningful 95% confidence interval for the difference in proportion of those who have visited a public library in the last 12 months for females and males respectively. Show all the steps to receive full credit. (0) Is there a difference in proportions of those who have visited a public library in the last 12 months between females and males? Explain why or why not