The administration wants to estimate the proportion of students at Pitcairn College (enrollment: 12,000) who favor a change in the pass/ fail grading system. A random sample of 200 students is selected without replacement. 85 students in the sample express support for the change.
a. Construct a 90% confidence interval estimate of the population proportion here.
b. Construct a 90% confidence interval estimate of the total number of students at Pitcairn who favor the change.