Construct the Indicated Confidence Interval for the Difference Between Population $47 \%$

question 7

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 300 women, $47 \%$ favored stricter gun control legislation. In a random sample of 200 men, $29 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

• A) \(0.092 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.268\)
• B) \(0.080 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.280\)
• C) \(0.069 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.291\)
• D) \(0.095 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.265\)

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Stable

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The transitional phase of human development where an individual evolves from dependency during childhood to independence and self-reliance in adulthood.

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A condition where there is a conflict between a person's physical or assigned gender and the gender with which they identify.

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