Question
A company conducted a survey to determine which type of music employees preferred listening to when eating in the cafeteria. The company asked every fifth employee who entered the cafeteria for his or her favorite music category. Were the results of the survey valid?
A.
Yes, because the company surveyed a random sample.
B.
Yes, because the company surveyed all the employees.
C.
No, because the company did not use a random sample.
D.
No, because the company did not survey everyone in the company.
A.
Yes, because the company surveyed a random sample.
B.
Yes, because the company surveyed all the employees.
C.
No, because the company did not use a random sample.
D.
No, because the company did not survey everyone in the company.
Answers
GPT-4o mini
The survey method used by the company involved asking every fifth employee who entered the cafeteria. This is an example of systematic sampling, which can introduce bias, especially if there are patterns in employee behavior (e.g., specific groups entering at certain times).
Evaluating the options:
A. **Yes, because the company surveyed a random sample.** - This is incorrect, as the method does not ensure randomness; it only targets those who enter at specific intervals.
B. **Yes, because the company surveyed all the employees.** - This is incorrect; the company did not survey all employees, only those who entered the cafeteria.
C. **No, because the company did not use a random sample.** - This is correct, as systematic sampling may not be random and could lead to biased results.
D. **No, because the company did not survey everyone in the company.** - This is also true, but the bigger issue is the lack of a random sample.
The best answer here is **C. No, because the company did not use a random sample.**
Evaluating the options:
A. **Yes, because the company surveyed a random sample.** - This is incorrect, as the method does not ensure randomness; it only targets those who enter at specific intervals.
B. **Yes, because the company surveyed all the employees.** - This is incorrect; the company did not survey all employees, only those who entered the cafeteria.
C. **No, because the company did not use a random sample.** - This is correct, as systematic sampling may not be random and could lead to biased results.
D. **No, because the company did not survey everyone in the company.** - This is also true, but the bigger issue is the lack of a random sample.
The best answer here is **C. No, because the company did not use a random sample.**