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 48 20 63 B 38 33 21 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 α = 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 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	48	20	63
B	38	33	21

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 α = 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 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.

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