Information from a university's website states that 55.6% of its students are female. For a research project, a graduate student selects a simple random sample of 400 the university's students.
a. Describe the sampling distribution of p , the sample proportion of students at the university who are female.
b. What is the probability that the sample will contain fewer than 53% females?
c. Suppose you take a random sample of 400 distance education students and find that 53% of them are female. Is this evidence that females make up a smaller percentage of distance education students than the student body as a whole?