Construct the Indicated Confidence Interval for the Difference Between Population $x _ { 1 } = 20 , n _ { 1 } = 43$

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.
- $x _ { 1 } = 20 , n _ { 1 } = 43$ and $x _ { 2 } = 28 , n _ { 2 } = 60 ;$ Construct a $90 \%$ confidence interval for the difference between population proportions $\mathrm { P } 1 - \mathrm { P } 2$ .

A) $0.301 < \mathrm { p } _ { 1 } - \mathrm { P } _ { 2 } < 0.629$
B) $0.270 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.660$
C) $0.660 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.270$
D) $- 0.166 < p _ { 1 } - p _ { 2 } < 0.162$