Ann's Facebook page has 198,400 Likes. As a reminder from HW3, a survey was posted on Ann's Facebook page about whether people who Liked the page would buy an ebook authored by her. Results are now available. Out of the 250 respondents, 29 claimed they would buy a $10 ebook based on her Facebook page. Note: Do not make the assumption from HW3. Ann has asked you to conduct the following analysis based on the information above. a) Estimate a confidence interval for the proportion of people who Like the page that would buy a $10 ebook. Your answer needs to include a brief justification of your choice of confidence level. [6 marks] b) How large a sample should be taken to reduce the confidence interval in (a) to 40% of its current size? [4 marks]