Question

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 41 21 19 B 39 19 13 Give all answers rounded to 3 places after the decimal point, if necessary, (a) Enter the expected frequencies below: X Y Z B (b) What is the chi-square test-statistic for this data? Test Statistic: x (c) What is the critical value for this test of independence when using a significance level of a -0.05? Critical Value: x = (d) What is the correct conclusion of this hypothesis test at the 0.05 significance level? O There is sufficient evidence to warrant rejection of the claim that the row and column variables are dependent, There is not sufficient evidence to support the claim that the row and column variables are dependent O There is not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent There is sufficient evidence to support the claim that the row and column variables are dependent Remember to give all answers rounded to 3 places after the decimal point, if necessary.

Answer 1

Answe). N 21 Raks) 31/7/2016 Ho: Rows & Columns of given table are independent Hi Recos e columns of given table goce not independent- X у Total A ul 19 81 39 19 13 71 Total 80 40 152 expected for gencies by E (pastola) Colunga Total Grand Tela 61-1 Col-2 61-3 81* 40 81*32 42.632 17.053 B 32 ROW-1 8480 152 = 152 = 21.316 152 171*80 71*Yo 152 18.684 171*32 | Row-2 37.368 152 = 14.947 152 Expected count observed clemtro) Co-ER E 0. 062 0.005 42.682 41 21. 316 21 17.053 0.222 0.071 19 37.368 39 0.005 (8. 684 19 0.254 14.947 13 12²=0.619

© Test statistic 2 a 0.619 Significano level 5005 DF = (01-4) (-1)=(24)*(3-1)=2.00 conitical 1914e! Koos = 5.991 2 7 tour P-Yalye CHISA) · PIST.R7 (0.619,2)= 0,7338 P-value >&=0.05 we fail to deject null hypothed's won There is not sufficient evidence to support the daim that the roof Column Variables gire dependent 2