Construct the confidence interval for the difference $p _ { 1 } - p _ { 2 }$ for the given level and values of $x _ { 1 } , n _ { 1 }$, $x _ { 2 }$, and $n _ { 2 }$.
Level $98 \% : x _ { 1 } = 27 , n _ { 1 } = 64 , x _ { 2 } = 16 , n _ { 2 } = 55$
A) (-0.048, 0.310)
B) (-0.063, 0.325)
C) (-0.038, 0.300)
D) (-0.054, 0.316)

Question

Quizplus · Accepted Answer

The confidence interval for the difference in proportions is calculated using the formula for the standard error of the difference in sample proportions and the z-score for the given confidence level. After calculations, option B is the correct interval.

Construct the Confidence Interval for the Difference p1−p2p _ { 1 } - p _ { 2 }p1​−p2​

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