The libraries around the country face a crisis. The patrons now have so many choices To borrow a book in person becoming outdated Budget cuts around many libraries are becoming slated. Only 57% of patrons borrow books anymore, Claims the American Library Association, suddenly! This statistic is wrong to its core Thinks the director of the library in Plainsboro, Kentucky. She hires a stats wizard to conduct a study He did his thing and what did he find! That in Plainsboro many a person and their buddy Borrowed books to expand their mind. Of the 250 people he sampled with diligence, About 185 borrowed actual books with no indifference. Using a 1% level of significance, he made a report To show that the library was not falling short He calculated the possible proportion of patrons, loyally Borrowing books in good ol' Plainsboro, Kentucky!| HINT: Did he demonstrate that the percentage was higher in Plainsboro? Find the 95% and 99% confidence intervals for this sample proportion mean. Choose the fully correct answer out of the following options: O He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) O He demonstrated that at a 1% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (68.56%, 79.44%) and the 99% confidence interval is (66.85%, 81.15%) He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was not higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%) He demonstrated that at a 99% level of confidence that the percentage of patrons borrowing books was higher in Plainsboro, KY. The 95% confidence interval is (63.34%, 84.66%) and the 99% confidence interval is (59.99%, 88.01%)