19. would be narrower 20. The American Veterinary Medical Association conducted

Question

19.

would be narrower

20.

The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to a random sample of 120 veterinary clinics throughout the country and of these, 88 responded that they do not treat large animals. A 95% confidence interval for p, the proportion of veterinary clinics that do not treat large animals: could be wider or narrower. would be the same length. would be wider.

would be narrower

20.

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. Based on the results of the test, a 95% confidence interval (using the plus four method) for the proportion of all students at this college that engage in binge drinking is: 0.308 to 0.394. 0.325 to 0.377. 0.321 to 0.381. 0.318 to 0.384

Explanation / Answer

20.The statistical software output for this problem is:

One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

95% confidence interval will be:

0.308 to 0.394

Option A is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 162 462 0.35064935 0.022200112 0.30813793 0.39416077

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