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.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)