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.
A) Yes; yes. The sample is random because all students have the same chance of being
Selected. It is a simple random sample because all samples of size 200 have the same
Chance of being selected.
B) No; yes. The sample is not random because political science majors have a greater
Chance of being selected than business majors. It is a simple random sample because
All samples of size 200 have the same chance of being selected.
C) No; no. The sample is not random because political science majors have a greater
Chance of being selected than business majors. It is not a simple random sample
Because some samples are not possible, such as a sample consisting of 50 business
Majors and 150 political science majors.
D) Yes; no. The sample is random because all students have the same chance of being
Selected. It is not a simple random sample because some samples are not possible,
Such as a sample consisting of 50 business majors and 150 political science majors.

Question

Quizplus · Accepted Answer

The sample is not random because political science majors, coming from a smaller pool (180), have a higher chance of being selected compared to business majors (260). It is not a simple random sample because the method used does not allow for every possible sample of size 200 to be selected, such as combinations that do not include exactly 100 students from each major.

A Psychology Student Wishes to Investigate Differences in Political Opinions