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.

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=?2=

(c) What is the critical value for this test of independence when using a significance level of ?? = 0.05?
      Critical Value: ?2=?2=  

(d) What is the correct conclusion of this hypothesis test at the 0.05 significance level?

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 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

X Y Z A 17 31 43 B 47 20 25

Explanation / Answer

as expected frequency =row total*column total/grand total

a)

b)

   Test Statistic: ?2= 21.195

c)

critical value =5.991

d)

There is sufficient evidence to support the claim that the row and column variables are dependent.

X Y Z A 31.825 25.361 33.814 B 32.175 25.639 34.186

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