Exercise 2 In the 2020-2021 academic year, many universities and colleges considered designating credit for all courses as simply pass/fail. Suppose the University of Illinois surveyed its students last year with the following question: Should all Spring 2021 semester courses be pass/no pass? (a) Suppose that University officials wanted to estimate the true proportion of Illinois students that wanted all Spring 2021 semester courses be pass/no pass to within 1% with 90% confidence. How many students would need to be surveyed? (b) In a huge rush, suppose the University only surveyed a random sample of 120 students with 47 students answering "yes" to the above question. Construct and interpret a 95% confidence interval for p. (c) Using the same sample from part b, construct and interpret a 95% confidence upper bound for p.