Question

It is believed that about 37% of college students binge drink. Administrators at a small university of 6,000 students want to do a study to determine if the proportion of their students who binge drink differs from 37%. They select a sample of 98 students enrolled at the university to survey about their drinking behavior. When generating the randomization distribution for this hypothesis test, how large should each individual randomization sample be?

Answer 1

The answer is 98 because this is the size of the original sample

Explanation:

From the example given, let resolve the issue.

37% of college student is believed to drink binge

The Administrator at a small university of 6000 students = determine if the proportion of their students who drink differs from 37%

so,

Small university of 6000 students x determine if the proportion of their students who drink differs from 37%

A sample of 98 students is selected for this experiment

Therefore,

Since out of the 6000 students, they want to determine if student who drink binge of 37%, and a random sample of 98 students is studied,

then,

the individual randomization is 98, because it is still the size of the original sample used.