# After hearing of the national result that 44% of students engage in binge drinking (5 dri a sitting for men, 4 for women), a professor surveyed a rand

After hearing of the national result that 44% of students engage in binge drinking (5 dri
a sitting for men, 4 for women), a professor surveyed a random sample of 244 students at his college and found that 96 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.
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SchepperJ
$p=0.44$
$q=1-0.44=0.56$
$\mu =p=0.44$
$\sigma =\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.44\ast 0.56}{244}}=0.032$
proportion of tudents found binge drinking $=\frac{96}{244}=0.39$
The found proportion is just 1.56 standart deviayions away from the expected hence we should not be surprised Result: No