The following data look at the association between group membership and whether or not the adolescent has had sexual intercourse. Are group membership and sexual intercourse independent? Make sure to 1. give the null and alternative hypotheses, 2. calculate the test statistic, and 3. give the conclusion (including a comparison to alpha or the critical value)
Group Yes No Total
Black Female 20 41 61
White Female 26 148 174
Black Male 30 26 56
White Male 41 129 170
Total 117 344 461