A researcher has 18 participants rate the morality of a person described in a vignette as being registered as a Democrat,Republican,or Independent.If = 3.41 for a one-way within-subjects ANOVA,then what was the decision at a .05 level of significance?
A)Reject the null hypothesis.
B)Retain the null hypothesis.
C)There is not enough information to answer this question.

Question

A researcher has 18 participants rate the morality of a person described in a vignette as being registered as a Democrat,Republican,or Independent.If  = 3.41 for a one-way within-subjects ANOVA,then what was the decision at a .05 level of significance?
A)Reject the null hypothesis. 
B)Retain the null hypothesis. 
C)There is not enough information to answer this question.

Quizplus · Accepted Answer

Since the p-value is not given, we cannot use it to make a decision. However, with a significant F value of 3.41 and 2 degrees of freedom, we can consult an F-distribution table to find that the critical value at a .05 level of significance is 4.10. Since the obtained F value of 3.41 is less than the critical value of 4.10, we fail to reject the null hypothesis. However, since the question asks for the decision at a .05 level of significance, and not the specific critical value or p-value, the correct answer is to reject the null hypothesis.

A Researcher Has 18 Participants Rate the Morality of a Person