You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X A 25 33 B 27 36 40 Y Z Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y B (b) What is the chi-square test-statistic for this data? Test Statistic: x² = Z (c) What is the critical value for this test of independence when using a significance level of a = 0.025? Critical Value: x² =

MATLAB: An Introduction with Applications
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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 | 25 | 33 | 33 |
| B | 27 | 36 | 40 |

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 α = 0.025?

Critical Value: χ² = [ ]

(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 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.**
Transcribed Image Text: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 | 25 | 33 | 33 | | B | 27 | 36 | 40 | 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 α = 0.025? Critical Value: χ² = [ ] (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 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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