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

question 62

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