Construct the Indicated Confidence Interval for the Difference Between Population $\mathrm { x } _ { 1 } = 19 , \mathrm { n } _ { 1 } = 46$

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.
- $\mathrm { x } _ { 1 } = 19 , \mathrm { n } _ { 1 } = 46$ and $\mathrm { x } _ { 2 } = 25 , \mathrm { n } _ { 2 } = 57 ;$ Construct a $90 \%$ confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

A) $0.221 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.605$
B) $0.605 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.221$
C) $0.252 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.574$
D) $- 0.187 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.136$