8 A manufacturer produces three types of car: hatchbacks, saloons and estates. Each type of car is available in one of three colours: silver, blue and red. The manufacturer wants to know whether the popularity of the colour of the car is related to the type of car. A random sample of 300 cars chosen by customers gives the information summarised in the following table.
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | Colour of car |
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | Silver | Blue | Red |
| \multirow{3}{*}{Type of car} | Hatchback | 53 | 36 | 41 |
| \cline { 2 - 5 } | Saloon | 29 | 40 | 31 |
| \cline { 2 - 5 } | Estate | 28 | 24 | 18 |
Test at the \(10 \%\) significance level whether the colour of car chosen by customers is independent of the type of car.