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 their race,whereas in a similar sample of 90 black men,36 initiated contact with someone outside 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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