The Ohio Department of Agriculture Tested 203 Fuel Samples Across $\left[ \begin{array} { l l } .045 & .221\end{array} ] \right.$

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level.For premium grade,14 out of 105 samples failed.(They didn't meet ASTM specification and the FTC octane posting rule. ) Find a 99 percent confidence interval for the true population proportion of premium grade fuel-quality failures.

A) $\left[ \begin{array} { l l } .045 & .221\end{array} ] \right.$
B) $\left[ \begin{array} { l l } .068 & .198\end{array} \right]$
C) $[ .023 \quad .115 ]$
D) $[ .048 \quad .219 ]$
E) $[ .100 \quad .276 ]$