The movie A Civil Action (1998) tells the story of a major legal battle that took place in the small town of Woburn, Massachusetts. A town well that supplied water to east Woburn residents was contaminated by industrial chemicals. During the period that residents drank water from this well, 16 of 414 babies born had birth defects. On the west side of Woburn, 3 of 228 babies born during the same time period had birth defects. Let p₁= the true proportion of all babies born with birth defects in west Woburn and p₂ = the true proportion of all babies born with birth defects in east Woburn. Check if the conditions for calculating a confidence interval for p₁ − p₂ are met.