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?

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Definitions:

Online Interventions

Psychological or health services and treatments that are delivered over the internet to improve mental and physical health.

Scenario Management Methods

Strategic planning techniques used to envision and analyze future scenarios to guide decision-making processes.

Catecholamine Levels

Concentration of neurotransmitters (such as dopamine, epinephrine, and norepinephrine) in the body, which are crucial for the body's fight or flight response.

Blood Pressure

The pressure of circulating blood on the walls of blood vessels, usually measured as a vital sign of health.