3 In this question you must show detailed reasoning.
In a survey into pet ownership, one of the questions was 'Do you own either a cat or a dog (or both)?’. A total of 121 people took part in the survey and you should assume that they form a random sample of people in a particular town. The results, classified by the age of the person being surveyed, are shown in Table 3.
\begin{table}[h]
| \multirow{2}{*}{} | Ownership of cat or dog |
| | Does own | Does not own |
| \multirow{2}{*}{Age} | Over 45 years | 38 | 29 |
| Under 45 years | 23 | 31 |
\captionsetup{labelformat=empty}
\caption{Table 3}
\end{table}
Carry out a test at the 10\% significance level to investigate whether, for people in this town, there is any association between age and ownership of a cat or dog.