Construct the Indicated Confidence Interval for the Difference Between Population $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 67$

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.
- $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 67$ and $\mathrm { x } _ { 2 } = 27 , \mathrm { n } _ { 2 } = 72 ;$ Construct a $95 \%$ confidence interval for the difference between population proportions $\mathrm { P } 1 - \mathrm { P } 2$ .

A) $0.210 < \mathrm { p } 1 - \mathrm { p } 2 < 0.596$
B) $- 0.165 < \mathrm { p } 1 - \mathrm { p } 2 < 0.596$
C) $- 0.134 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.190$
D) $0.241 < \mathrm { p } 1 - \mathrm { p } 2 < 0.565$