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	20	46	44
B	20	36	26

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

(a) Enter the expected frequencies below:

	X	Y	Z
A
B

To find the expected frequencies:

1. Enter the observed matrix into the calculator, per the Technology Corner.
2. Perform the test, per the Technology Corner.
3. Return to the matrix menu and view the B matrix. This will be the expected frequencies.

(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=  (Enter 4.605 as the answer to this question.)

(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 sufficient evidence to warrant rejection of 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 not 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.

Answer 1

Conclusion :

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

Thank You!

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