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

question 7

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:

Technological Condition

Refers to the state and level of technological advancement and infrastructure in a particular area or society.

Online Pastimes

Activities or hobbies that individuals engage in on the internet, such as gaming, social media, or consuming digital content.

Virtual Meetings

Gatherings conducted via telecommunication technologies, allowing participants to interact without physical co-location.

Competitive Advantage

The distinctive characteristics or situations that enable a company to surpass its rivals in performance.