Suppose at your university, some administrators believe that the proportion of students preferring to take classes at night exceeds 0.30. The president is skeptical and so has an assistant take a simple random sample of 200 students.

Of these, 66 indicate that they prefer night classes. What is the probability of finding a sample proportion equal to or greater than that found if the president’s skepticism is justified? Assume n … 5 % of N.