题目
Problem
Zimo wants to apply for a job with a large international company.
All applicants must take an aptitude test to see if they are suitable for the job.
There are two centres where Zimo can take the test, centre A and centre B.
Zimo found out that last month
- 90 people took the test at centre A and 60 passed
- 110 people took the test at centre B and 80 passed
Test, at the 5% level of significance, whether or not the aptitude test result is independent of the test centre. Show your working clearly. You must state your hypotheses, expected frequencies, test statistic and critical value.
(8)
(Total for Question 1 is 8 marks)
题目中文翻译
Zimo 想申请一份大型国际公司的工作。
所有应聘者都必须参加一项能力测试，以判断是否适合这份工作。
Zimo 可以在两个中心参加测试，A 中心和 B 中心。
Zimo 发现上个月：
- A 中心有 90 人参加测试，其中 60 人通过
- B 中心有 110 人参加测试，其中 80 人通过
在 5% 的显著性水平下，检验该能力测试结果是否与考试中心相互独立。 请清楚写出你的过程。你必须写出原假设、期望频数、检验统计量和临界值。