2 A test for association is to be carried out.
The tables below show the observed frequencies and the expected frequencies that are to be used for the test.
| Observed | X | Y | Z |
| A | 28 | 6 | 66 |
| B | 8 | 8 | 4 |
| C | 54 | 16 | 10 |
| Expected | \(\mathbf { X }\) | \(\mathbf { Y }\) | \(\mathbf { Z }\) |
| \(\mathbf { A }\) | 45 | 15 | 40 |
| \(\mathbf { B }\) | 9 | 3 | 8 |
| \(\mathbf { C }\) | 36 | 12 | 32 |
It is necessary to merge some rows or columns before the test can be carried out.
Find the entry in the tables that provides evidence for this.
Circle your answer.
[0pt]
[1 mark]
Observed A-Z
Observed B-Z
Expected A-X
Expected B-Y