NO.PZ2018101001000015
问题如下:
Donne builds a multiple regression model where the dependent variable is natural population growth rate (GR), and the independent variables are Gross National Income(GNI)、Consumer Price Index(CPI) and GDP. She believes that GNI has a positive effect to the natural population growth rate. The results as following:
Given the significance level is 0.05, which of the following statements is most likely correct?
选项:
A. The null hypothesis is , and we should not reject H0.
B. The null hypothesis is , and we should not reject H0.
C. The null hypothesis is , and we should reject H0.
解释:
C is correct.
考点: Interpret Regression Coefficient, Assumptions and F-test.
解析: 题目说Donne相信GNI对人口自然增长率有积极的影响,即斜率大于0,我们把想要拒绝的放在原假设,所以原假设应该是。通过表格,我们发现GNI的t统计量等于3.0000,已知当样本容量足够大(n=200),α=0.05时,临界值近似于1.65,所以t统计量大于临界值,我们应该拒绝原假设。所以C选项正确。
老师说表格在没有特殊说明的情况下,t和p都是默认检测b1=0的,但是这道题题目问的是单尾检验,b1是否小于等于0,为什么又可以直接用表格中的t值来判断