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A study was conducted to learn about drinking and driving habits of male and female college students. Independent random samples of 942 female students and 754 male students were obtained. Of those sampled, 181 female and 181 male students admitted that they had driven after consuming an alcoholic beverage. Is this sufficient evidence to conclude that male college students tend to drive after drinking more frequently than female college students? Let 1 = females and 2 = males, so that the appropriate hypotheses to be tested are:H 0 : p 1 = p 2 versus H a : p 1

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Use the following information for questions:
 A study was conducted to learn about drinking and driving habits of male and female college students. Independent random samples of 942 female students and 754 male students were obtained. Of those sampled, 181 female and 181 male students admitted that they had driven after consuming an alcoholic beverage. Is this sufficient evidence to conclude that male college students tend to drive after drinking more frequently than female college students? Let 1 = females and 2 = males, so that the appropriate hypotheses to be tested are:H 0 : p 1 = p 2 versus H a : p 1 < p 2 . Set the significance level to 0.01.
-Assuming the null hypothesis is true, what is the estimate of the common population proportion p?
A) 0.213
B) 0.192
C) 0.240
D) 0.216

Quizplus · Accepted Answer

The common population proportion p is estimated by pooling the sample proportions: (181 + 181) / (942 + 754) = 362 / 1696 = 0.213.

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