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cangli · 2022年09月09日

c选项是什么意思

  1. CFA I
  2. Quantitative

NO.PZ2021062201000016

问题如下：

Which of the following statements is correct with respect to the null hypothesis?

选项：

A.

It can be stated as “not equal to” provided the alternative hypothesis is stated as “equal to.”

B.

Along with the alternative hypothesis, it considers all possible values of the population parameter.

C.

In a two-tailed test, it is rejected when evidence supports equality between the hypothesized value and the population parameter.

解释：

B is correct. The null hypothesis and the alternative hypothesis are complements of one another and together are exhaustive; that is, the null and alternative hypotheses combined consider all the possible values of the population parameter

原假设和备择假设互为补充，并且是全覆盖的； 也就是说，原假设和备择假设相结合考虑了总体参数的所有可能值。

不明白c选项是什么意思，可以解释一下吗？

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已采纳答案

星星_品职助教 · 2022年09月09日

同学你好，

C选项意为：在双尾检验中，当要检验的总体参数和原假设中的假设值（hypothesized value）相等时，要拒绝原假设。

这个描述是反的。双尾检验的原假设是总体参数μ=hypothesized value，如果检验的结果是μ=hypothesized value，则检验证据和原假设相符，此时不能拒绝原假设。

拒绝原假设的前提应是假设值和总体参数不相等（evidence supports inequality）。

Pavel Korchagin · 2023年01月17日

不明白这两个值是什么意思，拒绝不是test stastistic落在critical value的α范围里面吗

星星_品职助教 · 2023年01月18日

@libaicun

1）如果原假设是μ=10，则此时μ就是要检验的总体参数（population parameter），10就是给这个参数所假设的值（hypothesized value）；

2）本题没有具体做假设检验，只是从定性的角度来描述拒绝原假设的原则，不涉及到具体做检验时才会有的test stastistic和critical value。

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同样的问题提问一次即可。

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