Question

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

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 14 35 25
B 3 35 53

Give all answers rounded to 3 places after the decimal point, if necessary.

(a) Enter the expected frequencies below:

X Y Z
A
B

(b) What is the chi-square test-statistic for this data?
      Test Statistic: χ2=____

(c) What is the critical value for this test of independence when using a significance level of αα = 0.10?
      Critical Value: χ2=_____

(d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?

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

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