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Katena32 [7]
2 years ago
6

A psychology student wishes to investigate differences in political opinions between business majors and political science major

s 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.
Mathematics
1 answer:
BARSIC [14]2 years ago
7 0

Answer:

Correct answer is B. (Explanation below)

Step-by-step explanation:

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; 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.

C) 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.

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.

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