Question

A recent study found that 41% of college students engage in binge drinking (5 drinks at a sitting for men, 4 for women). After hearing of the result, a professor surveyed a random sample of 244 students at his college and found that 92 admitted to binge drinking in the last week. Should he be surprised at this result? Explain. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. No, because the observed proportion of is less than 2 standard deviations above the survey result. B. Yes, because the observed proportion of is greater than 2 standard deviations below the survey result. C. Yes, because the observed proportion of is greater than 2 standard deviations above the survey result. D. No, because the observed proportion of is less than 2 standard deviations below the survey result.

Answer 1

-0.3770 obowed sample proportion 92 244 on = p(-p) OR n 0.41 X (10.41) 244 0,0315 MA = 0.41

are 95% of observations © 1 expected to lee within up + 2 = 0.41 + 2 X 0.0315 (0.34 70, 0.4730) 68 %. of aure in binge doinking About students & expected fed to engage with proporto tion between [lip top 0,3785 and O. 4415. About expected to 99.7% of students engage in bringe drinking with proportion betweeen 0.3155 and 0.5045 [ Mp + 308] obserred value 92 = 0,3770. 244 95%. banda lies the inside that observed Hence it is expected 92 doinkers among 2 44 students B. proportion & Any Tes; because the observed of 10.377 is greater deviations below the su survey resul tere than 2 standard result.

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