Question
In: Statistics and Probability
You are conducting a test of the claim that the row variable and the column variable...
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 | 16 | 22 | 18 |
| B | 34 | 39 | 10 |
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 = 0.01?
Critical Value:
χ2=χ2=
(d) What is the correct conclusion of this hypothesis test at the 0.01 significance level?
- 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 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.
Solutions
Expert Solution
Solution-
(a) Enter the expected frequencies below:
(b) What is the chi-square test-statistic for this data?
Test Statistic: χ2=
8.583
(c) What is the critical value for this test of independence
when using a significance level of α= 0.01?
Critical Value: χ2=
9.210
(d) What is the correct conclusion of this hypothesis test at the 0.01 significance level?
● There is not sufficient evidence to support the claim that the row and column variables are dependent.
◆ test results -
orchestra answered 2 years agoRelated Solutions
You are conducting a test of the claim that the row variable and the column variable...
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
20
46
44
B
20
36
26
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...
You are conducting a test of the claim that the row variable and the column variable...
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
19
37
29
B
18
39
34
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...
You are conducting a test of the claim that the row variable and the column variable...
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
46
33
49
B
33
14
38
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...
You are conducting a test of the claim that the row variable and the column variable...
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
28
11
14
B
26
24
40
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...
You are conducting a test of the claim that the row variable and the column variable...
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
51
19
43
B
42
19
39
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=
(c) What is the critical value for this test...
You are conducting a test of the claim that the row variable and the column variable...
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
51
19
43
B
42
19
39
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=
(c) What is the critical value for this test...
You are conducting a test of the claim that the row variable and the column variable...
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
28
38
35
B
43
36
25
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=
c) What is the critical value for this test...
You are conducting a test of the claim that the row variable and the column variable...
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
30
17
36
B
38
21
30
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...
You are conducting a test of the claim that the row variable and the column variable...
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
26
35
20
B
28
36
42
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=
(c) What is the critical value for this test...
You are conducting a test of the claim that the row variable and the column variable...
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
12
32
32
B
31
43
34
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=
(c) What is the critical value for this test...
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