2. Students in a mixed sixth form college are classified as taking courses in either Arts, Science or Humanities. A random sample of students from the college gave the following results
| \cline { 3 - 4 }
\multicolumn{2}{c|}{} | Course |
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | Arts | Science | Humanities |
| Esuder | Boy | 30 | 50 | 35 |
| \cline { 2 - 5 } | Girl | 40 | 20 | 42 |
Showing your working clearly, test, at the \(1 \%\) level of significance, whether or not there is an association between gender and the type of course taken. State your hypotheses clearly.