Listening to rap Is rap music more popular among young blacks than among young whites?

A sample survey compared 634 randomly chosen blacks aged 15 to 25 with 567 randomly selected whites in the same age group. It found that 368 of the blacks and 130 of the whites listened to rap music every day.10

(a) Calculate the standard error of the sampling distribution of the difference in the sample proportions

(blacks − whites). What information does this value provide?

(b) Construct and interpret a 95% confidence interval for the difference between the proportions of black and white young people who listen to rap every day.