3 Underage drinking and arrests are a common occurrence for

3. Underage drinking and arrests are a common occurrence for freshman – junior college students. An officer wants to establish a program that targets those ‘at risk’. He doesn’t know whether females have more arrests or males. So, he conducts a study. He obtains a random sample of 300 females and 350 males. Of the females, 50 have had underage arrests. Of the males, 100 have had an underage arrest. (8pts) a. What statistical test would be used to address if the proportion of females is significantly different from males? (1pt) b. Results are follows, p=.0003 for a two tailed test (proportion of females = .17, proportion of males = .23). Can we conclude that there is a significant difference? Explain why or why not. (4pts) i. Who should the officer target for the program? Explain. (3pts)

Solution

a) We should use two proportions z test to test if the proportion of females is significantly different from males.

b) Since p=0.0003 is less tan 0.05, reject null hypothesis. We can conclude that there is a significant difference.

c) Since proportion of males is higher than females, males should the officer target for the program.