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乔。 · 2023年05月31日

为什么critical value=1.669<1.8978,是拒绝原假设？

  1. CFA I
  2. Quantitative

NO.PZ2015120604000137

问题如下：

Ida Lee and his team collect a lot of analysis of statistical data about the car market .According to the data, they come to the conclusion that the mean price of SUV is more than $46,435 in his country. Then they randomly select 64 SUVs whose mean price is $46,760. Assuming the standard deviation of the sample is 1370. Ida Lee conducts a hypothesis test to check their conclusion. At which significant level should Ida Lee reject the null hypothesis?

选项：

A.

0.5%.

B.

5%.

C.

1%.

解释：

B is correct.

If the significant level is 5%, the critical value=1.669<1.8978, Ida Lee should reject the null.

If the significant level is 0.5%, the critical value=2.656>1.8978, Ida Lee will fail to reject the null.

If the significant level is 1%, the critical value=2.387>1.8978, Ida Lee will fail to reject the null.


why

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1 个答案

星星_品职助教 · 2023年05月31日

同学你好，

拒绝原假设的原则之一为：|critical value|＜|test statistic|，这相当于样本落到了拒绝域。

本题中1,.669为查表得到的critical value，1.8978为计算出来的test statistic。两者关系满足上述关系式，故拒绝原假设。

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