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?

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Definitions:

He

Helium, a colorless, odorless, tasteless, non-toxic, inert, monatomic gas that heads the noble gas series in the periodic table.

Lewis Dot Structure

A graphical representation of the valence electrons of atoms, indicating how the electrons are shared or paired between atoms in a molecule.

Ca

Calcium, a chemical element with the symbol Ca and atomic number 20, an alkaline earth metal essential for living organisms, particularly in cell physiology.

Lewis Dot Structure

A diagrammatic representation of the valence electrons in an atom, ion or molecule, using dots around the symbol of an element.