Question: To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students,

 To determine whether there is a relationship between the type of

To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students, in each group, were randomly selected from data used by Raferty and Hout (1985). One group of students attended secondary school, the second group of students attended vocational school. and the third group consisted of students who attended only primary school. Raftery, AB. and Hout, M. (1985). Does Irish education approach the meritocratic ideal? A logistic analysis. Economic and Social Review, 16, 115-140. The following hypotheses were tested: Ho=i11 = H2 = Ha Ha: .111, p2, 1113, are not all equal The analysis was run on the data and the following output was obtained: ANOVA table mama-w -----E mm-- -l---- Which of the following is an appropriate conclusion based on the output? O Fail to reject Ho and conclude that the data do not provide sufcient evidence that there is a relationship between the type of school attended and verbal reasoning scores for Irish students. 0 Fail to reject H0 and conclude that the data provide strong evidence that the three mean verbal reasoning scores (representing the three types of schools attended) are not all equal. 0 Reject H0 and conclude that the data provide strong evidence that verbal reasoning scores are related to type of school in the following way: the mean verbal reasoning score for Irish students who attended secondary school is higher than the mean verbal reasoning score for Irish students who attended vocational school, which in turn is higher than that of Irish students who attended only primary school. C) Reject H0 and conclude that the data provide strong evidence that there is a relationship between the type of school attended and verbal reasoning scores for Irish students

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