Samples of size 80 from population A with proportion 0.40 and samples of size 60 from population B with proportion 0.10

If random samples of the given sizes are drawn from populations with the given proportions:
(a) Find the mean and standard error of the distribution of differences in sample proportions, p̂_A − p̂_B.
(b) If the sample sizes are large enough for the Central Limit Theorem to apply, draw a curve showing the shape of the sampling distribution. Include at least three values on the horizontal axis.