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

question 76

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?

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Definitions:

Groupthink

A psychological phenomenon that occurs within a group of people, where the desire for harmony or conformity in the group results in an irrational or dysfunctional decision-making outcome.

Cohesive Group

A group characterized by unity and strong bonds among its members, leading to higher levels of cooperation and collective action.

Dissent

Disagreement with or opposition to the prevailing viewpoint or decision.

Cross-functional Teams

Teams composed of members from various departments and specialties working together towards a common goal.