Question

select the correct answer.
mateo teaches a continuing education class at the library on tuesday nights. he estimates that 75% of his students are satisfied or very satisfied with the class.
last week, he asked a random sample of students to take a survey on their experience in the class. however, the results showed that only 70% indicated that they are satisfied or very satisfied with the class. he decides to randomly survey more of his students. how will mateo know whether his model is valid or not?
a. it is impossible to determine whether the model is valid.
b. it is valid if the result from all the surveys and the model get farther apart.
c. it is valid if the result from all the surveys and the model stay the same.
d. it is valid if the result from all the surveys and the model get closer together.

Explanation:

To determine the validity of a model (here, the estimate of student satisfaction), we check the consistency of results with more data. When conducting more random surveys, if the new results (from all surveys) and the original model's estimate get closer, it supports the model's validity. Option D states this logic: the model is valid if combined survey results and the model's estimate converge. Other options are illogical (A: we can determine validity; B: farther apart would invalidate; C: same result isn't the key, convergence is).

Answer:

D. It is valid if the result from all the surveys and the model get closer together.