37. A recent poll asked 3,228 Americans aged 16 to 21 whether they are likely to serve in the U.S. military. The following table, cross-classified by gender and race, reports those w ho responded that they are likely or very likely to serve in the active-duty military.

Gender Race Hispanic Black White Male 1098 678 549 Female 484 355 64 SOURCE: Defense Human Resources Activity telephone poll of 3,228 Americans conducted October through December 2005.

a. State the competing hypotheses to test whether race and gender are dependent when making a choice to serve in the military.

b. Conduct the test using the critical value approach at the 5% significance level.