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

a. Write the null and alternative hypotheses for a test of independence for this table.
b. Calculate the expected frequencies for all cells, assuming that the null hypothesis is true.
c. For α = .01, 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 = .01, would you reject the null hypothesis?

Transcribed Image Text:

Row 1 Row 2 Row 3 Column 1 137 98 115 Column 2 64 71 81 Column 3 105 65 115