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  44   25   54  B  19   24   22  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=χ2=  (c) What is the critical value for this test of independence when using a significance level of αα = 0.10?

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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  44   25   54 
B  19   24   22 

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=χ2= 

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

(d) What is the correct conclusion of this hypothesis test at the 0.10 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.

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