2 Year 12 students at Newstatus School choose to participate in one of four sports during the Spring term.

The students' choices are summarised in the table.

\begin{center}
\begin{tabular}{|l|l|l|l|l|l|}
\hline
 & Squash & Badminton & Archery & Hockey & Total \\
\hline
Male & 5 & 16 & 30 & 19 & 70 \\
\hline
Female & 4 & 20 & 33 & 53 & 110 \\
\hline
Total & 9 & 36 & 63 & 72 & 180 \\
\hline
\end{tabular}
\end{center}

(a) Use a $\chi ^ { 2 }$ test, at the $5 \%$ level of significance, to determine whether the choice of sport is independent of gender.\\
(b) Interpret your result in part (a) as it relates to students choosing hockey.

\hfill \mbox{\textit{AQA S2  Q2}}