Construct the Indicated Confidence Interval for the Difference Between Population $50 \%$

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, $50 \%$ favored stricter gun control legislation. In a random sample of 200 men, $26 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } 1$ - $\mathrm { p } 2$ .

A) $0.157 < \mathrm { p } 1 - \mathrm { p } _ { 2 } < 0.323$
B) $0.141 < \mathrm { p } 1 - \mathrm { p } 2 < 0.339$
C) $0.131 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.349$
D) $0.153 < p _ { 1 } - p _ { 2 } < 0.327$