1.15 Graduate studies Consider the population of all undergraduate students at your university. A certain proportion have an interest in graduate studies. Your friend randomly samples 40 undergraduates and uses the sample proportion of those who have an interest in graduate studies to predict the population proportion at the university.

You conduct an independent study of a random sample of 40 undergraduates and find the sample proportion of those are interested in graduate studies. For these two statistical studies,

a. Are the populations the same?

b. How likely is it that the samples are the same? Explain.

c. How likely is it that the sample proportions are equal?

Explain.