Mathematics, 21.05.2020 22:14, austinbeesley9855
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 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.
Required:
Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?
Answers: 2
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](/tpl/images/0659/9952/cffa1.png)
![=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188](/tpl/images/0659/9952/01da4.png)
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According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Instit...
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