You are conducting a test of the claim that the row variable and the column vari

Question

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table A 49 40 18 B|8 | 24|39 Give all answers rounded to 3 places after the decimal point, if necessary (a) Enter the expected frequencies below: (b) What is the chi-square test-statistic for this data? Test Statistic: ?2 = (c) What is the critical value for this test of independence when using a significance level of ?-0.10? Critical value: ?2 (d) What is the correct conclusion of this hypothesis test at the 0.10 significance level? OThere is sufficient evidence to warrant rejection of the claim that the row and OThere is not sufficient evidence to support the claim that the row and column OThere is sufficient evidence to support the claim that the row and column OThere is not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent. variables are dependent. variables are dependent. column variables are dependent. Remember to give all answers rounded to 3 places after the decimal point, if necessary

Explanation / Answer

SolutionA:

Expected Freq=row total *column total/Grand total

=107*57/178=34.264

Expecte fre Table:

Solutionb:

chi sq=35.395

Solutionc:

chi sq critical=4.605

Solutiond:

chi sq > chi sq critical Reject Null hypothesis.

There is sufficient evidence to suppsuppport the claim both row anc column are dependent

X Y Z ROW TOTAL A 49 40 18 107 B 8 24 39 71 COLUMN TOTAL 57 64 57 178

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