After hearing of the national result that 44% of students engage in binge drinking (5 drinks...

After hearing of the national result that 44% of students engage in binge drinking (5 drinks at a sitting for men, 4 for women), a professor surveyed a random sample of 300 students at his college and found that 118 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.

Solutions

Expert Solution

We can use the test for proportions to verify if the professor should be shocked or not.

We will test the hypothesis that the true proportion of students binge drinking is 0.44 and test it by the sample we have

Since we can see that the null hypothesis is not rejected thus we can conclude that the population proportion is infact 0.44

Thus the professor would not be surprised at the results.

As by the sample we have we did not reject the hypothesis of the population proportion being 0.44

orchestra answered 1 year ago

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