4. Use the following contingency table to determine whether variable 1 is indepe

Question

4. Use the following contingency table to determine whether variable 1 is independent of variable 2. Let -0.05. Variable2 23 17 Total 12 21 20 18 Variable 8 Total Freq: Count Contingency Table Variable 1 By Variable 2 Z Total Expected Cell Chi^ 12 23 21 110365 20.8467 24 1168 56 00841 0.2224 0.4028 20 8.86861 16.7518 19.3796 0.0851 00037 00199 18 7.09489 13.4015 15.5036 17 45 36 00013 04303 0.4020 Total 27 51 59 137 Tests DF -Loglike RSquare (U) 00058 137 4 0.83571979 Test Likelihood Ratio Pearson ChiSquare Prob> Chisq 1.671 1.652 0.7959 07995 a. Use the chi-square value to test the independence b. Use the p-value to answer the question

Explanation / Answer

a) Here Chi square calculated =1.671

While Chi-square critical at 5% level of significance wirh 4 degrees of freedom =9.488 is greater than 1.671.Hence we are unable to rejectthe null hypothesis. hence variable 1 and variable 2 are independent.

b) here P value =0.7959 indicate the acceptance of null hypothesis at 5% level of significance. Hence we are unable to rejectthe null hypothesis. hence variable 1 and variable 2 are independent.

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