In: Statistics and Probability
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?
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 -