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 42 22 5 B 41 31 15 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A 0.762 x 0.089 x 1.672 x B 0.604 x 0.07 x 1.326 x (b) What is the chi-square test-statistic for this data? Test Statistic: x² = 4.623 (c) What is the critical value for this test of independence when using a significance level of = 0.025? Critical Value: x² = 7.378 (d) What is the correct conclusion of this hypothesis test at the 0.025 significance level? There is sufficient evidence to support the claim that the row and column variables are dependent. O There is not sufficient evidence to support the claim that the row and column variables are dependent. O 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.
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 42 22 5 B 41 31 15 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A 0.762 x 0.089 x 1.672 x B 0.604 x 0.07 x 1.326 x (b) What is the chi-square test-statistic for this data? Test Statistic: x² = 4.623 (c) What is the critical value for this test of independence when using a significance level of = 0.025? Critical Value: x² = 7.378 (d) What is the correct conclusion of this hypothesis test at the 0.025 significance level? There is sufficient evidence to support the claim that the row and column variables are dependent. O There is not sufficient evidence to support the claim that the row and column variables are dependent. O 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.
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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Test 4 Review
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 42
22 5
B 41 31 15
Give all answers rounded to 3 places after the decimal point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A 0.762 X
0.089 x
1.672 x
B 0.604 X
0.07 X
(b) What is the chi-square
1.326 x
test-statistic for this data?
Test Statistic: x² = 4.623
(c) What is the critical value for this test of independence when using a significance level of a
= 0.025?
Critical Value: x² = 7.378
(d) What is the correct conclusion of this hypothesis test at the 0.025 significance level?
There is sufficient evidence to support 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.
O 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.
Remember to give all answers rounded to 3 places after the decimal point, if necessary.
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