题目
Problem
A manager at a large estate agency believes that the type of property affects the time taken to sell it.
A random sample of 125 properties sold is shown in the table.
| Type of property | Bungalow | Flat | House | Total |
|---|---|---|---|---|
| Sold within three months | 7 | 29 | 46 | 82 |
| Sold in more than three months | 9 | 19 | 15 | 43 |
| Total | 16 | 48 | 61 | 125 |
Test, at the 5% level of significance, whether there is evidence for an association between the type of property and the time taken to sell it. You should state your hypotheses, expected frequencies, test statistic and the critical value used for this test.
(10)
题目中文翻译
一家大型房产中介的经理认为，房产类型会影响出售所需时间。
下表给出随机抽取的 125 套已售房产样本。
| 房产类型 | 平房 | 公寓 | 独立屋 | 合计 |
|---|---|---|---|---|
| 在三个月内售出 | 7 | 29 | 46 | 82 |
| 超过三个月才售出 | 9 | 19 | 15 | 43 |
| 合计 | 16 | 48 | 61 | 125 |
在 5% 显著性水平下检验：房产类型与出售所需时间之间是否存在关联。 你应写出原假设、期望频数、检验统计量和该检验所用的临界值。