Question

the student government of a small college wants to determine which professor on campus to award the \most favorite professor\ distinction at the convocations ceremony. peter who is assigned to the task of finding out student preferences for this distinction has decided to randomly interview 50 students walking out of an economics class auditorium, about their preference. is this sample good for drawing general conclusions about which professor is \most favorite\?
select the correct answer below:
○ no. the results are not generalizable because too few people are interviewed.
○ yes. since the people in the sample are chosen randomly, the sample should represent the population.
○ no. the results are not generalizable because the students in an economics class are not representative of the population of all students on campus.
○ no. the results are not generalizable because too many people are interviewed

Explanation:

To determine if a sample is good for general conclusions, we check if it's representative of the population. Here, the population is all students on campus, but the sample is only 50 students from an Economics class auditorium. Students in an Economics class don't represent all campus students (e.g., they may have different professor preferences related to their major). The first option is wrong because sample size (50) isn't too small for a college population. The second is wrong as random selection from a non - representative group (only Economics class area) doesn't make it representative. The fourth is wrong as 50 is not too many. So the correct reasoning is that the sample isn't representative.

Answer:

C. No. The results are not generalizable because the students in an economics class are not representative of the population of all students on campus.