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.
| Squash | Badminton | Archery | Hockey | Total |
| Male | 5 | 16 | 30 | 19 | 70 |
| Female | 4 | 20 | 33 | 53 | 110 |
| Total | 9 | 36 | 63 | 72 | 180 |
- Use a \(\chi ^ { 2 }\) test, at the \(5 \%\) level of significance, to determine whether the choice of sport is independent of gender.
- Interpret your result in part (a) as it relates to students choosing hockey.