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

question 8

Essay

Brian wants to obtain a confidence interval estimate of $p _ { 1 } - p _ { 2 }$ where $p _ { 1 }$ 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?

---

Definitions:

Marginal Utility

The increased happiness or advantage gained from the consumption of an additional unit of a good or service.

Marginal Utility

The incremental utility received from the consumption of one more unit of a particular good or service.

Marginal Utility

The increased enjoyment or advantage derived by a consumer from the consumption of an extra unit of a good or service.

Lemonade

A beverage typically made from lemon juice, water, and sugar.