Math

QuestionWhat is the correct sampling frame for a survey of 500 statistics students about foreign language class requirements? A. Students who responded B. 500 students surveyed C. All university students D. Students supporting language classes E. Statistics class students

Studdy Solution

STEP 1

Assumptions1. The faculty senate wants to know the opinion of all students at the university. . A simple random sample of500 students was selected for the survey.
3. The survey was conducted among students enrolled in statistics classes.
4. The survey form was sent by email to these500 students.
5. The options provided are potential sampling frames.

STEP 2

We need to understand what a sampling frame is. In statistics, a sampling frame is the source material or device from which a sample is drawn. It is a list of all those within a population who can be sampled, and may include individuals, households or institutions.

STEP 3

Now, we need to match the definition of the sampling frame with the options provided.

STEP 4

Option A The students who responded to the email survey. This is not the appropriate sampling frame as it does not include all individuals who could have been sampled (those who did not respond to the survey are not included).

STEP 5

Option B The500 students who got the email survey. This could be considered a sampling frame, but it is not the most appropriate one in this context because the faculty senate wants to know the opinion of all students at the university, not just those who were selected for the survey.

STEP 6

Option C All students at the university. This is the most appropriate sampling frame as it includes all individuals who could have been sampled, which aligns with the goal of the faculty senate.

STEP 7

Option D All students who think that foreign language classes should be required for everyone. This is not an appropriate sampling frame as it only includes individuals who have a specific opinion, not all individuals who could have been sampled.

STEP 8

Option All students enrolled in a statistics class. This is not the most appropriate sampling frame as it does not include all individuals who could have been sampled (students not enrolled in a statistics class are not included).
The most appropriate sampling frame in this scenario is option C All students at the university.

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