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Pavel Korchagin · 2023年01月17日

C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。

hypothesized value and the population parameter这句话是什么意思，这两个值想不想等是怎么推出结果的？

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星星_品职助教 · 2023年01月18日

同学你好，

原假设是 要检验的总体参数（population parameter）=假设的值（hypothesized value）。所以，如果样本给出的证据是总体参数确实就是和假设值一样，说明原假设正确，此时不能拒绝原假设。

如果样本给出的结论是总体参数≠假设值，则此时就和原假设是矛盾的，在这种情况下要拒绝原假设。

所以：

1）C选项的意思是 当样本给出的证据显示总体参数=假设的值时，要拒绝原假设。这个描述反了，此时应该是不能拒绝原假设；

2）本题只是对拒绝原假设的原则做一个定性的说明，并不是真的去做假设检验，也看不出两个值是否真的相等与否。

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