You are conducting a test of the claim that the row variables and the column variables are dependent in the following contingency table. Ho: The variables are independent Ha: At least two variables are dependent (Claim) Y A 39 35 27 B 21 42 22 Expected Frequencies (row i and column j) (Total;) (Total;) E j= Total
You are conducting a test of the claim that the row variables and the column variables are dependent in the following contingency table. Ho: The variables are independent Ha: At least two variables are dependent (Claim) Y A 39 35 27 B 21 42 22 Expected Frequencies (row i and column j) (Total;) (Total;) E j= Total
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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Transcribed Image Text:You are conducting a test of the claim that the row variables and the column variables are dependent in
the following contingency table.
Ho: The variables are independent
Ha: At least two variables are dependent (Claim)
Y
39
35
27
21
42
22
Expected Frequencies (row i and column j)
(Total:) - (Total;)
E j=
Total
Give all answers rounded to 3 places after the decimal point, if necessary.
(a) Enter the expected frequencies below:
Y
A
Residual Values
(Row i and
column j)
Chi Square Test Statistic
Degrees of Freedom
R =
(0,-E.)
in
x =
(0 – E
R df = (#of Rows – 1)(#ofColumns – 1)
(b) Enter the Residual Values below:
Y

Transcribed Image Text:Tyopenmath.com/assess2/?cid=D119535&aid-85554
Chi Square Test Statistic
Degrees of Freedom
(Row i and
column j)
df =
3 (2#%ofRows- 1)(#ofColumns – 1)
(0.j - E) x = 0-E)
%3D
(b) Enter the Residual Values below:
Y
A
B
(c) What is the chi-square test-statistic for this data?
Test Statistic: x
%3D
(d) What is the critical value for this test of independence when using a significance level of a = 0.025?
Critical Value: X
%3D
(e) What is the correct conclusion of this hypothesis test at the 0.025 significance level?
O There is not sufficient evidence to support the claim that the row and column variables are
dependent.
O There is 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.
O 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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