题目
Problem
A doctor believes that the diet of her patients and their health are not independent.
She takes a random sample of 200 patients and records whether they are in good health or poor health and whether they have a good diet or a poor diet. The results are summarised in the table below.
| Good health | Poor health | |
|---|---|---|
| Good diet | 86 | 8 |
| Poor diet | 91 | 15 |
Stating your hypotheses clearly, test the doctor’s belief using a 5% level of significance. Show your working for your test statistic and state your critical value clearly.
(9)
题目中文翻译
一位医生认为，她的病人的饮食与健康状况并不是相互独立的。
她随机抽取 200 名病人，记录他们是健康状况良好还是较差，以及他们饮食是良好还是较差。结果汇总如下表。
| 健康状况良好 | 健康状况较差 | |
|---|---|---|
| 饮食良好 | 86 | 8 |
| 饮食较差 | 91 | 15 |
清楚写出假设，在 5% 显著性水平下检验医生的看法。写出你的检验统计量计算过程，并清楚写出临界值。