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 27 11 55 B 22 28 19 Give all answers rounded to 3 places...

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

Give all answers rounded to
3 places after the decimal point, if necessary.

(a) Enter theexpected frequencies
below:

To find the expected frequencies:

1. Enter the observed matrix into the calculator, per the Technology Corner.


2. Perform the test, per the Technology Corner.


3. Return to the matrix menu and view the B matrix. This will be the expected frequencies.

(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 = 0.05?

      Critical Value: χ2= (Enter 5.991 as the answer to this question.)

(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.