Construct the Indicated Confidence Interval for the Difference Between Population $20 - 24,22 \%$

question 56

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected.
-In a random sample of 500 people aged $20 - 24,22 \%$ were smokers. In a random sample of 450 people aged $25 - 29,14 \%$ were smokers. Construct a $95 \%$ confidence interval for the difference between the population proportions $\mathrm { p } _ { 1 } - \mathrm { p } 2$ .

• A) \(0.025 <\) p \(_ { 1 } -\) p \(_ { 2 } < 0.135\)
• B) \(0.035 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.125\)
• C) \(0.032 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.128\)
• D) \(0.048 < p _ { 1 } - p _ { 2 } < 0.112\)

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Definitions:

Fixed Cost

Expenses that do not change with the level of goods or services produced by the business, such as rent for a building.

Managerial Levers

Tools or methods used by managers to influence the performance and direction of their organization.

Large Lots

Refers to the practice of bulk buying or producing goods in significant quantities to achieve economies of scale.

Fixed Cost

Expenses that do not change with the level of goods or services produced over the short term.