Suppose the Proportion of Women Who Follow a Regular Exercise $p _ { w }$

question 12

Multiple Choice

Suppose the proportion of women who follow a regular exercise program is $p _ { w }$ and the proportion of men who follow a regular exercise program is $p _ { m }$ . A study found a $98 \%$ confidence interval for $p _ { w } - p _ { m }$ is $( - 0.024,0.115 )$ . Give an interpretation of this confidence interval.

• A) We are \(98 \%\) confident that the proportion of women who follow a regular exercise program is between \(2.4 \%\) less and \(11.5 \%\) more than the proportion of men who follow a regular exercise program.
• B) We are \(98 \%\) confident that the proportion of men who follow a regular exercise program is between \(2.4 \%\) less and \(11.5 \%\) more than the proportion of women who follow a regular exercise program.
• C) We know that \(98 \%\) of men exercise between \(2.4 \%\) less and \(11.5 \%\) more than women.
• D) We know that \(98 \%\) of all random samples done on the population will show that the proportion of women who follow a regular exercise program is between \(2.4 \%\) less and \(11.5 \%\) more than the proportion of men who follow a regular exercise program.
• E) We know that \(98 \%\) of women exercise between \(2.4 \%\) less and \(11.5 \%\) more than men.

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Definitions:

Income Elasticity

A measure of how much the demand for a good or service changes in response to a change in consumers' income, indicating its necessity or luxury status.

Education Demanded

The quantity and type of education that individuals or society seek, often influenced by the job market and societal values.

Cross-price Elasticity

Measures the responsiveness of the demand for one good to a change in the price of another good.

Good Y

Typically, a variable used in economic models to represent a generic good or service in the market.