题目
Problem
A driving instructor believes that the performance (pass or fail) of students when taking a driving test is associated with their age. The following table summarises the number of students who pass and who fail, and the ages in years of the students taking the test, over a period of three years.
| under 20 | 20-40 | over 40 | total | |
|---|---|---|---|---|
| pass | 34 | 41 | 6 | 81 |
| fail | 16 | 39 | 9 | 64 |
| total | 50 | 80 | 15 | 145 |
Test, at the significance level, whether performance is independent of age of student.
[7]
题目中文翻译
一名驾驶教练认为，学生参加驾驶考试时的表现（通过或未通过）与他们的年龄有关。下表总结了三年内参加考试的学生中通过和未通过的人数，以及学生的年龄（单位为年）。
| under 20 | 20-40 | over 40 | total | |
|---|---|---|---|---|
| pass | 34 | 41 | 6 | 81 |
| fail | 16 | 39 | 9 | 64 |
| total | 50 | 80 | 15 | 145 |
在 显著性水平下，检验考试表现是否独立于学生年龄。