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王10 · 2023年11月13日

没理解c选项

  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。

假设值和总体参数不相等拒绝原假设。那在单尾统计中呢，也适用吗？

假设值是多少，总体参数又是多少？

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1 个答案

星星_品职助教 · 2023年11月14日

同学你好，

对于双尾检验，原假设是总体参数=假设值，备择检验是总体参数≠假设值。这种情况下，假设值和总体参数相等 就相当于支持了原假设所假设的情况，所以不能拒绝。只有当检验的证据支持假设值和总体参数不相等时，才和原假设所假设的情况矛盾，即要拒绝原假设。

但对于单尾检验，原假设可能是总体参数＞假设值，也可能是总体参数＜假设值。所以，是否拒绝要看原假设到底假设的是哪种情况，检验证据支持的又是不是原假设所假设的这种情况。

假设值和总体参数的具体值需要根据实际题目来给定。对于本题这种抽象的题目，只需要知道两者的关系即可。

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