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 38 24 31 B 47 22 35
You are conducting a test of the claim that the row variable and the column variable are dependent in the following
| X | Y | Z | |
|---|---|---|---|
| A | 38 | 24 | 31 |
| B | 47 | 22 | 35 |
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:
- Enter the observed matrix into the calculator, per the Technology Corner.
- Perform the test, per the Technology Corner.
- 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=
(c) What is the critical value for this test of independence when using a significance level of αα = 0.005?
Critical Value: χ2= (Enter 10.597 as the answer to this question.)
(d) What is the correct conclusion of this hypothesis test at the 0.005 significance level?
- 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.
- 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.
Step by step
Solved in 4 steps with 2 images
