In: Statistics and Probability
You are conducting a test of independence for the claim that there is an association between the row variable and the column variable.
X | Y | Z | |
---|---|---|---|
A | 27 | 19 | 8 |
B | 42 | 25 | 29 |
What is the chi-square test-statistic for this data?
χ2=
Report all answers accurate to three decimal places.
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 | 43 | 45 | 21 |
B | 33 | 28 | 11 |
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 of
independence when using a significance level of αα = 0.01?
Critical Value: χ2=
(d) What is the correct conclusion of this hypothesis test at the 0.01 significance level?