Construct the Indicated Confidence Interval for the Difference Between Population $p _ { 1 } - p _ { 2 }$

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions $p _ { 1 } - p _ { 2 }$ . Assume that the samples are independent and that they have been randomly selected.
- $\mathrm { x } _ { 1 } = 68 , \mathrm { n } _ { 1 } = 93$ and $\mathrm { x } _ { 2 } = 78 , \mathrm { n } _ { 2 } = 111 ;$ Construct a $98 \%$ confidence interval for the difference between population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

A) $- 0.119 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.176$
B) $0.584 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.879$
C) $- 0.095 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.855$
D) $0.607 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.855$