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 AL B (b) What is the chi-square test-statistic for this data? Test Statistic: x² = (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? 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. 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. Points possible: 2 License

Answer 1

There is not sufficient evidence to support the claim that the row and column Variables are dependent .

* I calculated the expected frequency to the nearest integer as frequencies can't be in decimals . But now I am thinking to provide the Values round to 3 decimal places . Please use which is appropriate .

The expected frequencies are

42.631 21.316 17.053

37.368 18.684 14.948

Then the updated test Statistic is = 0.622

All the remaining parts will be same .