Binge drinking is defined by the U.S. Department of Health and Human Services as

Question

Binge drinking is defined by the U.S. Department of Health and Human Services as the consumption of 5 or more drinks in a row for men and 4 or more for women. In a recent study of 500 college students, 277 of them reported to have engaged in binge drinking in the past two weeks. The report concluded that half of all college students binge drink. Test this claim at the 0.01 significance level.

(a) What type of test is this?

This is a two-tailed test

.This is a right-tailed test.   

This is a left-tailed test.

reject H0

fail to reject H0    

(f) Choose the appropriate concluding statement.

There is enough data to justify rejection of the claim that half of all college students binge drink.

There is not enough data to justify rejection of the claim that half of all college students binge drink.    

We have proven that exactly one half of all college students binge drink.

We have proven that the the claim is false.

Explanation / Answer

a)This is a two-tailed test

b)sample proportion of college binge-drinkers phat=277/500=0.554

c) std error =(p(1-p)/n)1/2 where p=0.5 and n=500

=0.0224

hence zstat =(phat-p)/std error =2.42

d)p value=0.0157

e)reject H0

f) There is enough data to justify rejection of the claim that half of all college students binge drink.

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