In a survey of 1750 females ages 20 to 24 whose highest level of education is completing high school, 64.4% were employed. In a survey of 2000 males ages 20 to 24 whose highest level of education is completing high school, 73.2% were employed. At α = 0.01, can you support the claim that there is a difference in the proportion of those employed 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, and 

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent.