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 34 44 B 19 26 38 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A Correct Correct Correct B Correct Correct Correct (b) What is the chi-square test-statistic for this data? Test Statistic: χ2=χ2= Correct (c) What is the critical value for this test of independence when using a significance level of αα = 0.005? Critical Value: χ2=χ2=
You are conducting a test of the claim that the row variable and the column variable are dependent in the following
| X | Y | Z | |
|---|---|---|---|
| A | 19 | 34 | 44 |
| B | 19 | 26 | 38 |
Give all answers rounded to 3 places after the decimal point, if necessary.
(a) Enter the expected frequencies below:
| X | Y | Z | |
|---|---|---|---|
| A | Correct | Correct | Correct |
| B | Correct | Correct | Correct |
(b) What is the chi-square test-statistic for this data?
Test Statistic: χ2=χ2= Correct
(c) What is the critical value for this test of independence when using a significance level of αα = 0.005?
Critical Value: χ2=χ2=
(a)
The row and column total is given below:
|
|
X |
Y |
Z |
Total |
|
A |
19 |
34 |
44 |
97 |
|
B |
19 |
26 |
38 |
83 |
|
Total |
38 |
60 |
82 |
180 |
The formula for expected frequency for each cell is,
E=row total*column total/grand total
The expected frequency is,
|
|
X |
Y |
Z |
|
A |
97*38/180=20.478 |
97*60/180=32.333 |
97*82/180=44.189 |
|
B |
83*38/180=17.522 |
83*60/180=27.667 |
83*82/180=37.811 |
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