Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3 × 3 contingency table shown below. Test using a = 0.05. NOTE: You may do this by hand, but it will take a bit of time. B B2 B3 Total A1 80 65 78 223 A2 51 78 71 200 A3 68 46 52 166 Total 199 189 201 589 (a) x² (b) Find the degrees of freedom. (C) Find the critical value. x?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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OUse software to test the null hypothesis of whether there is a relationship between
the two classifications, A and B, of the 3 x 3 contingency table shown below. Test using
a = 0.05. NOTE: You may do this by hand, but it will take a bit of time.
B B2 B3 Total
A1 80 65 78 223
A2 51 78 71 200
A3 68 46 52 166
Total 199 189 201 589
(a) x?
(b) Find the degrees of freedom.
(C) Find the critical value. x?
(d) The final conclusion is
OA. There is not sufficient evidence to reject the null hypothesis that there is no relationship
between A and B.
OB. We can reject the null hypothesis that A and B are not related and accept that there
seems to be a relationship between A and B.
Transcribed Image Text:OUse software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3 x 3 contingency table shown below. Test using a = 0.05. NOTE: You may do this by hand, but it will take a bit of time. B B2 B3 Total A1 80 65 78 223 A2 51 78 71 200 A3 68 46 52 166 Total 199 189 201 589 (a) x? (b) Find the degrees of freedom. (C) Find the critical value. x? (d) The final conclusion is OA. There is not sufficient evidence to reject the null hypothesis that there is no relationship between A and B. OB. We can reject the null hypothesis that A and B are not related and accept that there seems to be a relationship between A and B.
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