4. A manager at a large estate agency believes that the type of property affects the time taken to sell it.
A random sample of 125 properties sold is shown in the table.
| \multirow{2}{*}{} | Type of property | |
| Bungalow | Flat | House | Total |
| Sold within three months | 7 | 29 | 46 | 82 |
| Sold in more than three months | 9 | 19 | 15 | 43 |
| Total | 16 | 48 | 61 | 125 |
Test, at the \(5 \%\) level of significance, whether there is evidence for an association between the type of property and the time taken to sell it. You should state your hypotheses, expected frequencies, test statistic and the critical value used for this test.