In a survey of 200 males ages 18 to 24, 39% were enrolled in college. In a survey of 220 females ages 18 to 24, 45% were enrolled in college. At α = 0.05, can you support the claim that the proportion of males ages 18 to 24 who enrolled in college is less than the proportion of females ages 18 to 24 who enrolled in college?

(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.