Construct a 98% Confidence Interval For $\mathrm { p } _ { 1 } - \mathrm { p } _2$

Multiple Choice

Construct a 98% confidence interval for $\mathrm { p } _ { 1 } - \mathrm { p } _2$ Assume the samples are random and independent. Sample statistics: $\mathrm { n } _ { 1 } = 1000 , \mathrm { x } _ { 1 } = 250 , \text { and } \mathrm { n } _ { 2 } = 1200 , \mathrm { x } _ { 2 } = 195$

A) (0.047, 0.128)
B) (-0.621, 0.781)
C) (0.581, 1.819)
D) (1.516, 3.021)