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Helen 🎈 · 2022年12月29日

怎么判断拒绝或者不拒绝的

  1. CFA I
  2. Quantitative

NO.PZ2015120604000144

问题如下：

Quintina conducts a hypothesis to test whether the variance of the annually return is 0.0144. Then she selects a random 25 year's data as a sample, Quintina figures out the variance of the sample is 0.013924. Assume the level of significance is 5%, which of the following conclusion is least accurate?

选项：

A.

The population variance is not significant different from 0.0144.

B.

The population variance is significantly different from 0.0144.

C.

This hypothesis is appropriate to use the chi-square test.

解释：

B is correct.

The null hypothesis is H0: σ2=0.0144. It is appropriate to use the two-tailed chi-square test.

The test statistic is:=(25-1)*0.013924/0.0144=23.21

The critical chi-square critical values are 12.4 and 39.36.

Because the test statistic falls between these two values,so Quintina fails to reject the null hypothesis.

So we conclude that the population variance is not significantly different from 0.0144.

题干是问which is the least accurate?所以选B。

老师。。答案全出来了。。。用哪个值跟12.401和39比啊

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2 个答案

星星_品职助教 · 2022年12月30日

@Helen 🎈

可记忆拒绝原假设的两条规律，做题时直接代入就可以：

1）|test statistic|＞|critical value|；

2）p-value＜significance level；

星星_品职助教 · 2022年12月29日

同学你好，

需要用test statistic和critical value比。

即用计算出的23.21，和查表得到的12.4 and 39.36相比，得到不能拒绝原假设的结论。

Helen 🎈 · 2022年12月30日

哦哦哦哦 对对，做着做着就糊涂了，是不是要多做题可以避免

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