A Nutritionist Believes That Obesity Is More Prevalent Among American $\mathrm { P } _1 - \mathrm { P }_ 2$

Essay

A nutritionist believes that obesity is more prevalent among American adults than it was in the past. He
discovers that in a study conducted in the year 1994, 380 of the 1630 randomly chosen adults were classified as
obese. However, in a more recent study, he finds 726 out of 2350 randomly chosen adults were classified as
obese. Construct a 95% confidence interval for the difference in proportions $\mathrm { P } _1 - \mathrm { P }_ 2$