A survey of online consumers asked respondents to indicate how much money they spent for online purchases during the most recent Christmas holiday season. These data were analyzed to see if gender and income level influence the amount consumers spend online for holiday shopping. The two-way ANOVA results appear below. Which of the following statements is true?
A) This is an experiment.
B) This is a randomized block design.
C) Since the interaction effect of gender and income level on online expenditure is significant, it is not appropriate to interpret the main effects due to gender and income level separately.
D) Only income level is significant.
E) The interaction effect of gender and income level on online expenditure is not significant.

Question

A survey of online consumers asked respondents to indicate how much money they spent for online purchases during the most recent Christmas holiday season. These data were analyzed to see if gender and income level influence the amount consumers spend online for holiday shopping. The two-way ANOVA results appear below.  Which of the following statements is true?
A) This is an experiment. 
B) This is a randomized block design. 
C) Since the interaction effect of gender and income level on online expenditure is significant, it is not appropriate to interpret the main effects due to gender and income level separately. 
D) Only income level is significant. 
E) The interaction effect of gender and income level on online expenditure is not significant.

Quizplus · Accepted Answer

The significant interaction effect implies that the effect of gender on online expenditure depends on the income level, and vice versa. Therefore, it is not appropriate to interpret the main effects of gender and income level separately, as their effects on online expenditure are not independent.

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