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# Chi-Square

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(A) What are the two variables being examined?

(B) Is the test significant? That is, is the likelihood of the arrangement of values in this distribution being due to chance less than .05?

(C) Discuss the values of Chi-square, the degrees of freedom, and p shown in the results line.

(D) Can it be reasonably be concluded that the values of one variable are the cause of those of the other? Justify your answer.

##### Solution Summary

(A) What are the two variables being examined?

(B) Is the test significant? That is, is the likelihood of the arrangement of values in this distribution being due to chance less than .05?

(C) Discuss the values of Chi-square, the degrees of freedom, and p shown in the results line.

(D) Can it be reasonably be concluded that the values of one variable are the cause of those of the other? Justify your answer.

##### Solution Preview

(A) What are the two variables being examined?
Two variables are examined, the expected percentage distribution (of club membership over Samba dancing skills) verses the observed percentage distribution.

(B) Is the test significant? That is, is the likelihood of the arrangement of values in this distribution being due to chance less than .05?

Since the reported Chi-square has a p value of 0.014, which is smaller than ...

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