7 A statistics unit is required to determine whether or not there is an association between students' performances in mathematics at Key Stage 3 and at GCE.
A survey of the results of 500 students showed the following information:
| \multirow{2}{*}{} | GCE Grade | \multirow[b]{2}{*}{Total} |
| | A | B | C | Below C | |
| \multirow{3}{*}{Key Stage 3 Level} | 8 | 60 | 55 | 47 | 43 | 205 |
| 7 | 55 | 32 | 31 | 26 | 144 |
| 6 | 40 | 38 | 35 | 38 | 151 |
| Total | 155 | 125 | 113 | 107 | 500 |
- Use a \(\chi ^ { 2 }\) test at the \(10 \%\) level of significance to determine whether there is an association between students' performances in mathematics at Key Stage 3 and at GCE.
- Comment on the number of students who gained a grade A at GCE having gained a level 7 at Key Stage 3.