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.

---

Definitions:

Marginal Costs

refers to the cost associated with producing each additional unit of a product or service.

Average Total Cost

The total cost of production divided by the quantity produced, representing the per-unit cost of production, including both fixed and variable costs.

Diminishing Marginal Returns

A principle stating that as more of a variable input is added to a fixed input, beyond some point, the additional output produced from the additional input will eventually start to decrease.

Marginal Cost Curve

A graphical representation showing how the cost of producing one additional unit of a good changes as production volume changes.