Suppose I wanted to know the proportion of students who are paying attention in class, so I give a simple quiz that will show who is paying attention. Of the 65 students in the class, 27 of them got...

Suppose I wanted to know the proportion of students who are paying attention in class, so I give a simple quiz that will show who is paying attention. Of the 65 students in the class, 27 of them got the quiz correct. Assuming this really is a good way of finding out who pays attention, form a 62.23% confidence interval for the proportion of students who are paying attention.