The faculty senate at a large university wanted to know what proportion of the students thought foreign language classes should be required for everyone. The statistics department offered to cooperate in conducting a survey, and a simple random sample of 500 students was selected from all the students enrolled in statistics classes. A survey form was sent by email to these 500 students.

In this case, the population of interest is:

(a) all the students at the university.
(b) all the students enrolled in a statistics class.
(c) the 500 students who got the email survey.
(d) the students who responded to the email survey.
(e) all the students who think that foreign language classes should be required for everyone.

In this case, the sampling frame is:

(a) all the students at the university.
(b) all the students enrolled in a statistics class.
(c) the 500 students who got the email survey.
(d) the students who responded to the email survey.
(e) all the students who think that foreign language classes should be required for everyone.

Which of the following is true about this study?

(a) Since the sample is random, it is representative of the population of interest.
(b) Even though the sample is random, it is not representative of the population of interest.