2 A driving school employs four instructors to prepare people for their driving test. The allocation of people to instructors is random. For each of the instructors, the following table gives the number of people who passed and the number who failed their driving test last year.

\begin{center}
\begin{tabular}{|l|l|l|l|l|l|}
\hline
 & Instructor $A$ & Instructor $B$ & Instructor $C$ & Instructor $D$ & Total \\
\hline
Pass & 72 & 42 & 52 & 68 & 234 \\
\hline
Fail & 33 & 34 & 41 & 58 & 166 \\
\hline
Total & 105 & 76 & 93 & 126 & 400 \\
\hline
\end{tabular}
\end{center}

Test at the 10\% significance level whether success in the driving test is independent of the instructor.\\

\hfill \mbox{\textit{CAIE Further Paper 4 2021 Q2}}