The following MINITAB output presents a confidence interval for a proportion. $$\begin{array} { c r r c c }
\hline \text { Variable } & \mathrm { X } & \mathrm { N } & \text { Sample p } & 95 \% \mathrm { CI } \
\mathrm { x } & 78 & 142 & 0.549296 & ( 0.467457,0.631135 ) \
\hline
\end{array}$$ Fill in the blanks: We are ________ confident that the population mean is between _______ and _______.
A) 5%, 0.467457,0.631135
B) 95%, 0.480610,0.617982
C) 95%, 0.467457,0.631135
D) 97.5%, 0.480610,0.617982

Question

The following MINITAB output presents a confidence interval for a proportion. $$\begin{array} { c r r c c } 
\hline \text { Variable } & \mathrm { X } & \mathrm { N } & \text { Sample p } & 95 \% \mathrm { CI } \
\mathrm { x } & 78 & 142 & 0.549296 & ( 0.467457,0.631135 ) \
\hline
\end{array}$$ Fill in the blanks: We are ________ confident that the population mean is between _______ and _______. 
A) 5%, 0.467457,0.631135
B) 95%, 0.480610,0.617982
C) 95%, 0.467457,0.631135
D) 97.5%, 0.480610,0.617982

Quizplus · Accepted Answer

The given output presents a confidence interval for a proportion. The confidence level is given as 95%. Therefore, we are 95% confident that the true population proportion lies between 0.467457 and 0.631135. Option C correctly represents the confidence level and the lower and upper limits of the confidence interval.

The Following MINITAB Output Presents a Confidence Interval for a Proportion