In a survey of 175 females ages 16 to 24 who have completed high school during the past 12 months, 72% were enrolled in college. In a survey of 160 males ages 16 to 24 who have completed high school during the past 12 months, 65% were enrolled in college. At α = 0.01, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups?

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value(s) and identify the rejection region(s),

(c) Find the standardized test statistic z,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent. If convenient, use technology.