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 passo pass? (a) Suppose that University officials wanted to estimate the true proportion of Illinois students that wanted all Spring 2021 semester courses be passo 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