3. A number of males and females were asked to rate their happiness under the headings "not happy", "fairly happy" and "very happy".
The results are shown in the table below
| Happiness | \multirow{2}{*}{Total} |
| \cline { 3 - 5 }
\multicolumn{2}{|c|}{} | Not happy | Fairly happy | Very happy | |
| \multirow{2}{*}{Gender} | Female | 9 | 43 | 34 | 86 |
| \cline { 2 - 6 } | Male | 13 | 25 | 16 | 54 |
| Total | 22 | 68 | 50 | 140 |
Stating your hypotheses, test at the \(5 \%\) level of significance, whether or not there is evidence of an association between happiness and gender. Show your working clearly.