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 who responded that they are likely or very likely to serve in the active-duty military.
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.