Brian Wants to Obtain a Confidence Interval Estimate Of $p _ { 1 } - p _ { 2 }$

Essay

Brian wants to obtain a confidence interval estimate of $p _ { 1 } - p _ { 2 }$ where p1 represents the proportion of American
women who smoke and $p _ { 2 }$ represents the proportion of American men who smoke. He randomly selects 100
married couples. Among the 100 women in the sample are 21 smokers. Among the 100 men are 29 smokers. Are
the requirements for obtaining a confidence interval estimate of $p _ { 1 } - p _ { 2 }$ satisfied? If not, which requirement is
not satisfied?