4. At the end of a season an athletics coach graded a random sample of ten athletes according to their performances throughout the season and their dedication to training. The results, expressed as percentages, are shown in the table below.
| Athlete | Performance | Dedication |
| \(A\) | 86 | 72 |
| \(B\) | 60 | 69 |
| \(C\) | 78 | 59 |
| \(D\) | 56 | 68 |
| \(E\) | 80 | 80 |
| \(F\) | 66 | 84 |
| \(G\) | 31 | 65 |
| \(H\) | 59 | 55 |
| \(I\) | 73 | 79 |
| \(J\) | 49 | 53 |
- Calculate the Spearman rank correlation coefficient between performance and dedication.
- Stating clearly your hypotheses and using a \(10 \%\) level of significance, interpret your rank correlation coefficient.
- Give a reason to support the use of the rank correlation coefficient rather than the product moment correlation coefficient with these data.