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fdzh · 2023年11月01日

请问答案中79.08的critical value是怎么算出来的?

NO.PZ2023091601000060

问题如下:

Using a sample size of 61 observations, an analyst determines that the standard deviation of the returns from a stock is 21%. Using a 0.05 significance level, the analyst:

选项:

A.

Can conclude that the standard deviation of returns is higher than 14%.

B.

Cannot conclude that the standard deviation of returns is higher than 14%

C.

Can conclude that the standard deviation of returns is not higher than 14%.

D.

None of the above.

解释:

The required test for testing the variance is the chi-squared test.

To test whether the standard deviation is higher (H0: standard deviation is lower than or equal to 14%), the critical value of chi-squared will be 79.08 (using df = 60 and p = 0.05). Since the test statistic is higher than the critical value, the analyst can reject the null hypothesis and concludes that the standard deviation of returns is higher than 14%.

critical value of chi-squared will be 79.08

1 个答案

pzqa27 · 2023年11月01日

嗨,努力学习的PZer你好:


查表查出来的,就是5%的卡方分布表对应的位置

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NO.PZ2023091601000060问题如下 Using a sample size of 61observations, analyst termines ththe stanrviation of the returnsfrom a stois 21%. Using a 0.05 significanlevel, the analyst: A.Cconclu thatthe stanrviation of returns is higher th14%. B.Cannotconclu ththe stanrviation of returns is higher th14%C.Cconclu thatthe stanrviation of returns is not higher th14%. None of the above. The requiretest fortesting the varianis the chi-squaretest. To test whether thestanrviation is higher (H0: stanrviation is lower thor equto14%), the criticvalue of chi-squarewill 79.08 (using = 60 anp =0.05). Sinthe test statistic is higher ththe criticvalue, the analystcrejethe null hypothesis anconclus ththe stanrviation ofreturns is higher th14%. 老师好,我也有同样的问题,为什呢不能设置H0大于等于14%,从题目和答案都完全不出来想要拒绝的结论是什么。也就说这道题如果H0设置的和解题相反,则无法算出正确答案对吧?

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NO.PZ2023091601000060 问题如下 Using a sample size of 61observations, analyst termines ththe stanrviation of the returnsfrom a stois 21%. Using a 0.05 significanlevel, the analyst: A.Cconclu thatthe stanrviation of returns is higher th14%. B.Cannotconclu ththe stanrviation of returns is higher th14% C.Cconclu thatthe stanrviation of returns is not higher th14%. None of the above. The requiretest fortesting the varianis the chi-squaretest. To test whether thestanrviation is higher (H0: stanrviation is lower thor equto14%), the criticvalue of chi-squarewill 79.08 (using = 60 anp =0.05). Sinthe test statistic is higher ththe criticvalue, the analystcrejethe null hypothesis anconclus ththe stanrviation ofreturns is higher th14%. 不理解解析设置H0: stanrviation is lower thor equto 14%,为什么不能设置H0: stanrviation is higher th 14%

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