4 In a traffic survey a random sample of 400 cars passing a particular location during the rush hour is selected. The type of car and the sex of the driver are classified as follows.
| \multirow{2}{*}{} | Sex | \multirow{2}{*}{Row totals} |
| | Male | Female | |
| \multirow{5}{*}{Type of car} | Hatchback | 96 | 36 | 132 |
| Saloon | 77 | 35 | 112 |
| People carrier | 38 | 44 | 82 |
| 4WD | 19 | 8 | 27 |
| Sports car | 22 | 25 | 47 |
| Column totals | 252 | 148 | 400 |
- Carry out a test at the \(5 \%\) significance level to examine whether there is any association between type of car and sex of driver. State carefully your null and alternative hypotheses. Your working should include a table showing the contributions of each cell to the test statistic.
- For each type of car, comment briefly on how the number of drivers of each sex compares with what would be expected if there were no association.
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