Suppose we wish to study the relationship between religious affiliation and geographical region. Two groups of people are chosen at random, one from the east coast and one from the west coast of the United States, and each person is classified as Protestant, Catholic, or Jewish. The observed frequencies are presented in the following table. Protestant Catholic Jewish 203 East coast 182 215 West coast 154 136 110 Test to see if religious faith is independent of the region where one lives. For this test, a. specify the null and the alternative hypotheses that are being tested b. report the Chi-square test statistic and the critical value you are using to conduct the test and clearly state the conclusion of the test in the context of the problem (use a - 0.05 )