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Andy · 2024年01月27日

原假设是≤，那么难道不应该看左尾吗？即检验统计量1.91和critical value中-1.65比，这样落在接受域。

  1. CFA I
  2. Quantitative

NO.PZ2015120604000147

问题如下：

Here is a table discribing sample statistics from two bonds' rate of return which are both normally distributed over the past decades. If an investor is considering whether the mean of bond B is greater than 26%,

which of the following conclusion is least appropriate (significant level=5%) ?

选项：

A.

It is appropriate to use the Z-test.

B.

The mean of bond B is not significant greater than 26%.

C.

It is a one-tailed test.

解释：

B is correct.

It is appropraite to ues the one-tailed Z-test because the sample size of bond B is bigger than 30.

The null hypothesis is: H0: μ ≤ 26%

The test statistic:


α= 5% indicates the critical value is equal to ±1.65.

Because 1.91>1.65, therefore, we should reject the null hypothesis.

原假设是≤，那么难道不应该看左尾吗？即检验统计量1.91和critical value中-1.65比，这样落在接受域。

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品职助教_七七 · 2024年01月27日

嗨，努力学习的PZer你好：


原假设是≤，说明当＞的时候和原假设不一致，也就是需要拒绝原假设。

另一个思考角度是拒绝域由备择假设决定，备择假设是＞，则拒绝域在右尾。关键值为+1.65.

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