Difference in proportion who favor a gun control proposal, using p̂_f = 0.82 for 379 out of 460 females and p̂_m = 0.61 for 318 out of 520 for males. (We found a 90% confidence interval for this difference in Exercise 6.175.)

Find a 95% confidence interval for the difference in proportions two ways, using StatKey or other technology and percentiles from a bootstrap distribution and using the normal distribution and the formula for standard error. Compare the results.

Exercise 6.175

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes.’’ Use this information to find and interpret a 90% confidence interval for the difference in the proportions of men and women who agree with this proposed law.