Question

A psychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. She randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. Does this sampling method result in a random sample? Why or why not?

No, because each individual student does not have an equal chance of being selected.

Yes, because each individual student has an equal chance of being selected.

No, because each group of 200 students in the sample does not have the same chance of being selected.

Yes, because each group of 200 students in the sample has the same chance of being selected.

Answer 1

The answer is C.................................................

Answer 2

Hence, the correct answer is:

Yes, because each individual student has an equal chance of being selected.

Explanation:

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A simple random sample is meant to be an unbiased representation of a group.

In the following question we have two subset one of political science majors and the other of business majors and each of the subset the probability of choosing 100 members have equal chance of being selected.

Hence, the correct answer is:

Yes, because each individual student has an equal chance of being selected.