题目
A researcher investigates the results of candidates who took their driving test at one of three driving test centres.
A random sample of 620 candidates gave the following results.
| Result | A | B | C | Total |
|---|---|---|---|---|
| Pass | 99 | 110 | 68 | 277 |
| Fail | 108 | 116 | 119 | 343 |
| Total | 207 | 226 | 187 | 620 |
(a) Test, at the 5% level of significance, whether there is an association between the results of candidates’ driving tests and the driving test centre. Show your working clearly. You should state your hypotheses, expected frequencies, test statistic and the critical value for this test.
The researcher decides to conduct a further investigation into the results of candidates’ driving tests.
(b) State which driving test centre you would recommend for further investigation. Give a reason for your answer.
题目中文翻译
一位研究者调查了在三个驾驶考试中心之一参加驾驶考试的考生结果。
从 620 名考生中抽得一个随机样本，结果如下。
| 结果 | A | B | C | 总计 |
|---|---|---|---|---|
| 通过 | 99 | 110 | 68 | 277 |
| 未通过 | 108 | 116 | 119 | 343 |
| 总计 | 207 | 226 | 187 | 620 |
(a) 在 5% 的显著性水平下检验考生的驾驶考试结果与驾驶考试中心之间是否存在关联。请清楚写出你的过程。你应写出原假设、期望频数、检验统计量和临界值。
研究者决定对考生驾驶考试结果做进一步调查。
(b) 说明你会建议进一步调查哪个驾驶考试中心，并给出理由。