- A random sample of 100 people were asked if their finances were worse, the same or better than this time last year. The sample was split according to their annual income and the results are shown in the table below.
| Annual income Finances | Worse | Same | Better |
| Under \(\pounds 15000\) | 14 | 11 | 9 |
| \(\pounds 15000\) and above | 17 | 20 | 29 |
Test, at the \(5 \%\) level of significance, whether or not the relative state of their finances is independent of their income range. State your hypotheses and show your working clearly.