Question

Consider the following contingency table that is based on a sample survey.

	Column 1	Column 2	Column 3
Row 1	139	85	84
Row 2	92	49	90
Row 3	121	80	113

a. Write the null and alternative hypotheses for a test of independence for this table.

H0: Rows and columns are

dependent/independent

;

H1: Row and columns are

independent/dependent

.

b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.

Round your answers to three decimal places, where required.

	Column 1	Column 2	Column 3	Total
Row 1
Row 2
Row 3
Total

c. For α=0.01, find the critical value of χ2. Specify the rejection and nonrejection regions on the chi-square distribution curve.

Enter the exact answer from the chi-square distribution table.

χ2=
The rejection region is

on the right/on the left

of the critical value of χ2.
The nonrejection region is

on the left/on the right

of the critical value of χ2.

d. Find the value of the test statistic χ2.

Round your answer to three decimal places.

The value of the test statistic χ2 is .

e. Using α=0.01, would you reject the null hypothesis?

Answer 1