# Question: Consider the following contingency table which records the results obtained

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

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

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

c. For α = .025, find the critical value of x2. Show the rejection and non-rejection regions on the chi-square distribution curve.

d. Find the value of the test statistic x2.

e. Using α = .025, would you reject the null hypothesis?

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

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

c. For α = .025, find the critical value of x2. Show the rejection and non-rejection regions on the chi-square distribution curve.

d. Find the value of the test statistic x2.

e. Using α = .025, would you reject the null hypothesis?

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