A recent study from the University of California, Berkeley, suggests that compared to black Americans, white Americans are less likely to cross the race barrier in online dating. In a sample of 120 white men, 24 initiated contact with someone outside of their race, whereas in a similar sample of 90 black men, 36 initiated contact with someone outside of their race.
A) Specify the competing hypotheses to determine if the proportion of white Americans initiating a contact outside their race is exactly 10 percentage points lower than that of black Americans.
B) Find the critical value(s) of the test.
C) Calculate the value of the test statistic.
D) Make a conclusion at the 5% significance level.

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The Answer of A recent study from the University of California, Berkeley, suggests that compared to black Americans, white Americans are less likely to cross the race barrier in online dating. In a sample of 120 white men, 24 initiated contact with someone outside of their race, whereas in a similar sample of 90 black men, 36 initiated contact with someone outside of their race.
A) Specify the competing hypotheses to determine if the proportion of white Americans initiating a contact outside their race is exactly 10 percentage points lower than that of black Americans.
B) Find the critical value(s) of the test.
C) Calculate the value of the test statistic.
D) Make a conclusion at the 5% significance level.

A Recent Study from the University of California, Berkeley, Suggests