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 39 38 36 B 33 38 38 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=χ2= (c) What is the critical value for this test of independence when using a significance level of αα = 0.025? Critical Value: χ2=χ2= (Enter 7.378 as the answer to this question.) (d) What is the correct conclusion of this hypothesis test at the 0.025 significance level? 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. 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. Remember to give all answers rounded to 3 places after the decimal point, if necessary.
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 | 39 | 38 | 36 |
B | 33 | 38 | 38 |
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=χ2=
(c) What is the critical value for this test of independence when using a significance level of αα = 0.025?
Critical Value: χ2=χ2= (Enter 7.378 as the answer to this question.)
(d) What is the correct conclusion of this hypothesis test at the 0.025 significance level?
- 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.
- 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.
Remember to give all answers rounded to 3 places after the decimal point, if necessary.
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