2 For a random sample of 160 employees of a large company, the principal method of transport for getting to work, arranged according to grade of employee, is shown in the table.
| Grade | Walk or cycle | Private motorised transport | Public transport |
| A | 9 | 13 | 6 |
| B | 16 | 43 | 41 |
| C | 11 | 8 | 13 |
A test is carried out at the \(5 \%\) significance level of whether there is association between grade of employee and method of transport.
- State appropriate hypotheses for the test.
The contributions to the test statistic are shown in the following table, correct to 3 decimal places.
| Grade | Walk or cycle | Private motorised transport | Public transport |
| A | 1.157 | 0.289 | 1.929 |
| B | 1.878 | 0.225 | 0.327 |
| C | 2.006 | 1.800 | 0.083 |
- Show how the value 0.225 is obtained.
- Complete the test, stating the conclusion.
- Which combination of grade of employee and method of transport most strongly suggests association? Justify your answer.