Construct and Interpret Confidence Intervals for the Difference Between Two $65 \%$

Multiple Choice

Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-In a recent survey of drinking laws, a random sample of 1000 women showed that $65 \%$ were in favor of increasing the legal drinking age. In a random sample of 1000 men, $60 \%$ favored increasing the legal drinking age. Construct a $95 \%$ confidence interval for $\mathrm { P } 1$ - $\mathrm { p } 2$ .

A) $( 0.008,0.092 )$
B) $( 0.587,0.912 )$
C) $( - 1.423,1.432 )$
D) $( - 2.153,1.679 )$