4 An art gallery is holding an exhibition. A random sample of 150 visitors to the exhibition is selected. The visitors are asked which of four artists they prefer. Their preferences, classified according to whether the visitor is female or male, are given in the table.
| Artist preferred |
| \cline { 3 - 6 }
\multicolumn{2}{|c|}{} | Monet | Renoir | Degas | Cézanne |
| \multirow{2}{*}{Sex} | Male | 8 | 25 | 18 | 19 |
| \cline { 2 - 6 } | Female | 18 | 35 | 10 | 17 |
- Carry out a test at the \(10 \%\) significance level to examine whether there is any association between artist preferred and sex of visitor. Your working should include a table showing the contributions of each cell to the test statistic.
- For each artist, comment briefly on how the preferences of each sex compare with what would be expected if there were no association.