Construct the Indicated Confidence Interval for the Difference Between Population $\mathrm { x } _ { 1 } = 19 , \mathrm { n } _ { 1 } = 46$

question 33

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.
- $\mathrm { x } _ { 1 } = 19 , \mathrm { n } _ { 1 } = 46$ and $\mathrm { x } _ { 2 } = 25 , \mathrm { n } _ { 2 } = 57 ;$ Construct a $90 \%$ confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

• A) \(0.221 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.605\)
• B) \(0.605 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.221\)
• C) \(0.252 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.574\)
• D) \(- 0.187 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.136\)

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A comparative metric that evaluates a data point or performance outcome in relation to another baseline or standard.

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The total quantity of pollutants released into the environment, often measured in the context of industrial operations or vehicle emissions.

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