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Suppose that a random sample of 100 men between the ages of 25 and 54 was selected and it was found that 85 were currently working. A similar sample of 100 women was selected and 72 were working. Complete parts a and b below.

a. Using a = 0.025, can it be concluded that the proportion of men in this age group who are working differs from the proportion of women who are working?

i. State the null and the alternative hypothesis
ii. What is the test statistic?
iii. What is the critical value?
iv. What is the correct conclusion?