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 | 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 of
independence when using a significance level of α = 0.05?
Critical Value: χ2=
(d) What is the correct conclusion of this hypothesis test at the 0.05 significance level?
Remember to give all answers rounded to 3 places after the decimal point, if necessary.