问题如下图:
选项:选项中的H0显示应为单尾检验,但提供的答案感觉上作为双尾检验处理了,不是很理解,求解答。
A.
B.
C.
解释:
NO.PZ2018101001000015 问题如下 nne buil a multiple regression mol where the pennt variable is naturpopulation growth rate (GR), anthe inpennt variables are Gross NationIncome(GNI)、Consumer PriInx(CPI) anG. She believes thGNI ha positive effeto the naturpopulation growth rate. The results following:Given the significanlevel is 0.05, whiof the following statements is most likely correct? A.The null hypothesis isH0:bGNI≥0H_0:b_{GNI}\geq0H0:bGNI≥0 , anwe shoulnot rejeH0. B.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0, anwe shoulnot rejeH0. C.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0 , anwe shoulrejeH0. C is correct.考点: Interpret Regression Coefficient, Assumptions anF-test.解析: 题目说nne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H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0。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正确。 为什么这里就直接可以用t,但是前面那题就要自己算t。考试的时候如果检验值不等于0的话,t数值都不能直接用吗?
NO.PZ2018101001000015 问题如下 nne buil a multiple regression mol where the pennt variable is naturpopulation growth rate (GR), anthe inpennt variables are Gross NationIncome(GNI)、Consumer PriInx(CPI) anG. She believes thGNI ha positive effeto the naturpopulation growth rate. The results following:Given the significanlevel is 0.05, whiof the following statements is most likely correct? A.The null hypothesis isH0:bGNI≥0H_0:b_{GNI}\geq0H0:bGNI≥0 , anwe shoulnot rejeH0. B.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0, anwe shoulnot rejeH0. C.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0 , anwe shoulrejeH0. C is correct.考点: Interpret Regression Coefficient, Assumptions anF-test.解析: 题目说nne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H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0。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正确。 老师,表中给出的t-statistic=3是通过(bi-0)/Sbi公式计算出的t值,所以需要计算一下置信区间的值(置信区间应该是按照bi±t*Sbi来计算,即0.0003±1.96*0.0001),用3和这个置信区间的数比较,但是我看到答案写着用3和1.96直接比较,请问这个怎么理解呀,我的思路错在哪里了老师。
NO.PZ2018101001000015问题如下nne buil a multiple regression mol where the pennt variable is naturpopulation growth rate (GR), anthe inpennt variables are Gross NationIncome(GNI)、Consumer PriInx(CPI) anG. She believes thGNI ha positive effeto the naturpopulation growth rate. The results following:Given the significanlevel is 0.05, whiof the following statements is most likely correct?A.The null hypothesis isH0:bGNI≥0H_0:b_{GNI}\geq0H0:bGNI≥0 , anwe shoulnot rejeH0.B.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0, anwe shoulnot rejeH0.C.The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0 , anwe shoulrejeH0.C is correct.考点: Interpret Regression Coefficient, Assumptions anF-test.解析: 题目说nne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H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0。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正确。如题 右侧单尾➕alpha=0.05的话,CV不应该等于🟰1.96吗?
NO.PZ2018101001000015 我的问题比较宽泛点,如果题目中没有提到积极影响的话,那么大于等于零和小于等于零计算出来的t值都是3,都应该拒绝原假设,这时如何判断?
NO.PZ2018101001000015 The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0, anwe shoulnot rejeH0. The null hypothesis is H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0 , anwe shoulrejeH0. C is correct. 考点: Interpret Regression Coefficient, Assumptions anF-test. 解析: 题目说nne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 H0:bGNI≤0H_0:b_{GNI}\leq0H0:bGNI≤0。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