The following MINITAB output display presents a 95% confidence interval for the difference between two proportions. $\begin{array} { l r r c } \text { Sample } & \mathrm { X } & \mathrm { N } & \text { Sample P } \ 1 & 116 & 526 & 0.220532 \ 2 & 103 & 572 & 0.180070 \end{array}$
Difference $= p ( 1 ) - p ( 2 )$
Estimate for difference: $0.040462$
$95 \%$ CI for difference: $( - 0.014,0.095 )$ Fill in the blanks: We are 95% confident that the difference between the proportions is between ______ and
______.
A) 0, 0.040462
B) 0.18007, 0.220532
C) 526, 572
D) -0.014, 0.095

Question

Quizplus · Accepted Answer

The 95% confidence interval for the difference between the two proportions is given as (-0.014, 0.095). This means that we are 95% confident that the true difference between the two proportions is between -0.014 and 0.095. Choice (A) is incorrect because it only shows the estimate for the difference, not the range. Choices (B) and (C) are also incorrect because they are the proportions from the two samples, not the confidence interval for the difference between them.

The Following MINITAB Output Display Presents a 95% Confidence Interval