A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?
A) The p-value 0.001742 is quite small, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and at least one of the independent variables.
B) The p-value 0.001742 is quite large, so we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
C) The p-value, 0.001742 is larger than the F value, so we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.

Question

A multiple regression analysis showed the following ANOVA table result.  Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?
A) The p-value 0.001742 is quite small, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and at least one of the independent variables. 
B) The p-value 0.001742 is quite large, so we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables. 
C) The p-value, 0.001742 is larger than the F value, so we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.

Quizplus · Accepted Answer

The p-value (0.001742) is significantly small and less than the commonly chosen alpha level of 0.05. Therefore, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and at least one of the independent variables.

A Multiple Regression Analysis Showed the Following ANOVA Table Result