Jeremy is using an ANOVA to examine the alternative hypothesis that brand loyalty is higher among frequent fliers of Jet Blue than the reported brand loyalty of frequent fliers on United,US Airways,and Delta.If the p value is less than .05 and the F ratio is greater than 1,which of the following interpretations is correct?
A) Jet Blue has higher brand loyalty among its frequent fliers than do the other three airlines examined
B) There is no difference in brand loyalty among customers of the four airlines
C) There is a difference in brand loyalty among customers of the four airlines
D) Jet Blue has lower brand loyalty among its frequent fliers than do the other three airlines
E) No interpretation can be made with the information available

Question

Quizplus · Accepted Answer

If the p value is less than .05, it means that there is sufficient evidence to reject the null hypothesis that there is no difference in brand loyalty among the four airlines. If the F ratio is greater than 1, it means that the variability in brand loyalty between the groups is greater than the variability within the groups. Therefore, C is the correct interpretation - there is a difference in brand loyalty among customers of the four airlines. However, it does not necessarily mean that Jet Blue has higher brand loyalty than the other airlines.

Jeremy Is Using an ANOVA to Examine the Alternative Hypothesis