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According to the National Institute on Alcohol Abuse and Alcoholism, and the Nat

ID: 3232296 • Letter: A

Question

According to the National Institute on Alcohol Abuse and Alcoholism, and the National Institutes of Health, 41% of college students nationwide engage in binge drinking behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking. If the P-value that you have computed is less than 0.01, which statement is TRUE?

We should conduct the study again because the P-value is too extreme. Between 95% and 99% of the samples we would collect would indicate proportions of binge drinking between 30% and 40%. In more than 99% of the samples that we might collect, we would not observe results more extreme than the observed proportion of binge drinkers from this sample. We should accept the null hypothesis based on this P-value.

Explanation / Answer

If the p - value would be less than 0.01,

In more than 99% of the samples that we might collect, we would not observe results more extreme than the observed proportion of binge drinkers from this sample.

Option C is correct.

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