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游游 · 2024年11月02日

答案

NO.PZ2023091601000126

问题如下:

An analyst is testing a hypothesis that the beta, β, of stock CDM is 1. The analyst runs an ordinary least squares regression of the monthly returns of CDM, RCDM, on the monthly returns of the S&P 500 index, Rm, and obtains the following relation:

RCDM = 0.86 Rm - 0.32

The analyst also observes that the standard error of the coefficient of Rm is 0.80. In order to test the hypothesis H0: β = 1 against H1: β ≠ 1, what is the correct statistic to calculate?

选项:

A.

t-statistic

B.

Chi-square test statistic

C.

Jarque-Bera test statistic

D.

Sum of squared residuals

解释:

The correct test is the t test. The t statistic is defined by:


In this case t = -0.175. Since |t| < 1.6 we cannot reject the null hypothesis

答案中的Since |t| < 1.6 ,这个1.6怎么来的

1 个答案
已采纳答案

pzqa27 · 2024年11月04日

嗨,从没放弃的小努力你好:


这里这个1.6可以忽略掉,因为题目没给出置信区间,所以解析这个1.6是根据正态分布的90%的置信区间来估算的,因为t=-0.175是一个很小的数,所以肯定是可以拒绝原假设的。

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