A subsample of the 2008 MTF survey suggests that black adolescents are more accepting of having friends of a different race than white adolescents. Of the 184 black adolescents who answered the question about race and friendship, 44% reported that having friends of a different race is "desirable." However, of the 867 white adolescents who answered the question about race and friendship, only 39% reported that having friends of a different race is "desirable."
a. Calculate the 95% confidence interval for each proportion reported.
b. Write a summary based on your calculation suggesting at least two reasons for the observed difference.
The critical value for 95% confidence interval is 1.96
a. For the first group, p = 0.44
Margin of error = 1.96*sqrt(0.44*(1-0.44)/184) = 0.072
The upper limit: 0.44+0.072 = ...
This solution provides steps to calculate the 95% confidence interval and writes a summary on the calculation.