Suppose the Proportion of Women Who Favor Stricter Gun Control $p _ { w }$

question 7

Multiple Choice

Suppose the proportion of women who favor stricter gun control legislation is $p _ { w }$ and the proportion of men who favor stricter gun control legislation is $p _ { m }$ . The survey found a $90 \%$ confidence interval for $p _ { w } - p _ { m }$ is $( - 0.08,0.24 )$ . Give an interpretation of this confidence interval.

• A) We know that \(90 \%\) of all random samples done on the population will show that the proportion of men who favor stricter gun control legislation is between \(8 \%\) lower and \(24 \%\) higher than the proportion of women who favor stricter gun control legislation.
• B) We know that \(90 \%\) of all random samples done on the population will show that the proportion of women who favor stricter gun control legislation is between \(8 \%\) lower and \(24 \%\) higher than the proportion of men who favor stricter gun control legislation.
• C) We are \(90 \%\) confident that the proportion of men who favor stricter gun control legislation is between \(8 \%\) lower and \(24 \%\) higher than the proportion of women who favor stricter gun control legislation.
• D) We are \(90 \%\) confident that women favor gun control legislation that is between \(8 \%\) less strict and \(24 \%\) more strict than legislation favored by men.
• E) We are \(90 \%\) confident that the proportion of women who favor stricter gun control legislation is between \(8 \%\) lower and \(24 \%\) higher than the proportion of men who favor stricter gun control legislation.

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Definitions:

Edgeworth Box

A diagram used in microeconomics to show how different allocations of goods can lead to efficiency or inefficiency within a market.

Utility Function

A formula that quantifies the happiness or satisfaction received from consuming certain amounts and combinations of goods and services.

Endowed

Furnished or provided with a particular quality, ability, or asset.

Contract Curve

In an Edgeworth Box diagram, the locus of points representing the set of mutually beneficial allocations between two parties.