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 Y A 11 31 26 В 33 27 45 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: Y (b) Enter the Residual Values below: Y (c) What is the chi-square test-statistic for this data? Test Statistic:X (d) What is the critical value for this test of independence when using a significance level of a 0.01? Critical Value: xỉ. %3D (e) What is the correct conclusion of this hypothesis test at the 0.01 significance level? B. B.

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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
Y
A
11
31
26
33
27
45
Give all answers rounded to 3 places after the decimal point, if necessary.
(a) Enter the expected frequencies below:
Y
Z
A
B.
(b) Enter the Residual Values below:
Y.
Z
(c) What is the chi-square test-statistic for this data?
Test Statistic: X =
(d) What is the critical value for this test of independence when using a significance level of a 0.01?
Critical Value: Xá
(e) What is the correct conclusion of this hypothesis test at the 0.01 significance level?
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 Y A 11 31 26 33 27 45 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: Y Z A B. (b) Enter the Residual Values below: Y. Z (c) What is the chi-square test-statistic for this data? Test Statistic: X = (d) What is the critical value for this test of independence when using a significance level of a 0.01? Critical Value: Xá (e) What is the correct conclusion of this hypothesis test at the 0.01 significance level?
Expert Solution
Step 1

Solution:

The given table of data is

Statistics homework question answer, step 1, image 1

State the hypotheses.

Null hypothesis:

H0: The variables are independent.

Alternative hypothesis:

Ha: At least two variables are dependent.

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