Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations. Population...

35, 81, 107, 57

Row2: _ 13 _ _ 57 _ _ 80 _ _123

Row3: _ 47 _ _ 44 _ _ 69 _ _ 94_

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

Round your answers to three decimal places, where required.

c. For α=0.025

, 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=

d.) Find the value of the test statistic χ2

.

Round your answer to three decimal places.

The value of the test statistic χ2

 is