Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. A Kruskal-Wallis test performed with $\alpha$= 0.01 will result in a decision to ___.
A)reject the null hypothesis
B)reject the alternate hypothesis
C)not reject the null hypothesis
D)not reject the alternate hypothesis
E)do nothing

Question

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.  A Kruskal-Wallis test performed with $\alpha$= 0.01 will result in a decision to ___.
A)reject the null hypothesis 
B)reject the alternate hypothesis 
C)not reject the null hypothesis 
D)not reject the alternate hypothesis 
E)do nothing

Quizplus · Accepted Answer

Since the significance level (α) is 0.01, if the p-value of the Kruskal-Wallis test is less than 0.01, we will reject the null hypothesis and conclude that the compensation methods have a significant effect on motivation. If the p-value is greater than or equal to 0.01, we will not reject the null hypothesis and conclude that there is no significant effect of compensation methods on motivation. Therefore, based on the information given in the question, we cannot determine the p-value, so we cannot reject or accept any hypotheses. The only possible choice is C, which means "not reject the null hypothesis".

Performance Records for 18 Salespersons Are Selected to Investigate Whether α\alphaα

Performance Records for 18 Salespersons Are Selected to Investigate Whether $\alpha$