A researcher conducts a two-way ANOVA to study the effects of diet type (vegetarian, omnivore) and exercise frequency (low, high) on cholesterol levels. The ANOVA output shows the pp-value for the interaction term (diet×exercise\text{diet} × \text{exercise}) is 0.032 0.032 . At the α=0.05 \alpha = 0.05 significance level, what should the researcher conclude about the interaction between diet type and exercise frequency?

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Problem 4Multiple Choice

A researcher conducts a two-way ANOVA to study the effects of diet type (vegetarian, omnivore) and exercise frequency (low, high) on cholesterol levels. The ANOVA output shows the $p$ -value for the interaction term ( $diet \times exercise$ ) is $0.032$ . At the $alpha equals 0.05$ significance level, what should the researcher conclude about the interaction between diet type and exercise frequency?

The interaction cannot be assessed with the given information

The main effects are significant, but the interaction is not

There is no significant interaction between diet type and exercise frequency

There is a significant interaction between diet type and exercise frequency

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