A recent study from the University of California, Berkeley suggests that, compared to white Americans, black Americans are more likely to cross the race barrier in online dating. In a sample of 120 white men, 24 initiated contact with someone outside their race, whereas in a similar sample of 90 black men, 36 initiated contact with someone outside their race.

a. Specify the hypotheses to justify the suggestion.
b. Find the critical value(s) of the appropriate test at the 1% significance level.
c. Calculate the value of the test statistic.
d. Make a conclusion at the 1% significance level.