Given the following contingency table, conduct a test for independence at the 5% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table)     Variable A Variable B 1 2 1 23 47 2 32 53 a. Choose the null and alternative hypotheses.   multiple choice 1 H0: The two variables are independent.; HA: The two variables are dependent. H0: The two variables are dependent.; HA: The two variables are independent.   b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

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