4 In a survey a random sample of 63 runners is selected. The category of runner and the type of running are classified as follows.
| \multirow{2}{*}{} | Category of runner | \multirow{2}{*}{Row totals} |
| | Junior | Senior | Veteran | |
| \multirow{3}{*}{Type of running} | Track | 9 | 8 | 2 | 19 |
| Road | 4 | 8 | 12 | 24 |
| Both | 4 | 10 | 6 | 20 |
| Column totals | 17 | 26 | 20 | 63 |
- Carry out a test at the \(5 \%\) significance level to examine whether there is any association between category of runner and the type of running. State carefully your null and alternative hypotheses. Your working should include a table showing the contributions of each cell to the test statistic.
- For each category of runner, comment briefly on how the type of running compares with what would be expected if there were no association.