You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. XYZA 3 39 24 B 17 53 32 Give all answers rounded to 3 places after the decimal point, if necessary.(a) Enter the expected frequencies below: XYZA B (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= (d) What is the correct conclusion of this hypothesis test at the 0.025 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 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 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.

Given data: X Y Z Total A 3 39 24 66 B 17 53 32 102 Total 20 92 56 168

Answered: ou are conducting a test of the claim…

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	3	39	24
B	17	53	32

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=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=

(d) What is the correct conclusion of this hypothesis test at the 0.025 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 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 not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent.