Hatching shrimp eggs: A study of the effect of water pollution on the habitat of shrimp reported that out of 1985 eggs produced by shrimp at the Diesel Creek site in Charleston, South Carolina, 1919 hatched, and at the Shipyard Creek site, also in Charleston, 4561 out of 4988 eggs hatched. Construct a 95% confidence interval for the difference between the proportions of eggs that hatch at the two sites.