The university is trying to estimate the percentage of students who failed more than two courses. In a random sample of 100 students, 12 have failed more than two courses before. Construct a 99%...

The university is trying to estimate the percentage of students who failed more than two courses. In a random sample of 100 students, 12 have failed more than two courses before. Construct a 99% confidence interval of the actual proportion of students in the university who failed more than two courses.