According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), 41% of college students nationwide engage in “binge drinking” behaviour, having five or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at the college that binge drink is actually lower than the national proportion. In a commissioned study, 348 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admitted to having engaged in binge drinking.
With a P-value > 0.10, which of the following conclusions is reasonable?

Question

According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), 41% of college students nationwide engage in “binge drinking” behaviour, having five or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at the college that binge drink is actually lower than the national proportion. In a commissioned study, 348 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admitted to having engaged in binge drinking.

With a P-value > 0.10, which of the following conclusions is reasonable?

Answer

There is strong evidence that the proportion of students at this college that binge drink is lower than the national proportion of 0.41.

Answer

There is little evidence to support a conclusion that the proportion of students at this particular college that binge drink is lower than the national proportion of 0.41.

Answer

There is moderate but not strong evidence that the proportion of binge drinking students at this college is lower than the national proportion of 0.41.

Answer

We can't reach any reasonable conclusion because the assumptions necessary for a significance test for a proportion are not met in this case.

Crowdly

According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), 41%...

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