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 plan result in a random sample? Simple random sample? Explain.

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

Option B

Explanation:

Given that 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.

Though each student has different chance of being selected in business or political science in each group each student has equal chance of being selected. Hence this is a random sample only.

Option B

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