3. A class of 8 students sit examinations in History and Geography. The marks obtained by these students are given below.
| Student | A | B | C | D | E | F | G | H |
| History mark | 73 | 59 | 83 | 49 | 57 | 82 | 67 | 60 |
| Geography mark | 55 | 51 | 58 | 59 | 44 | 66 | 49 | 67 |
- Calculate Spearman's rank correlation coefficient for this data set.
- Hence determine whether or not, at the \(5 \%\) significance level, there is evidence of a positive association between marks in History and marks in Geography.
- Explain why it might not have been appropriate to use Pearson's product moment correlation coefficient to test association using this data set.