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 40 37 2 31 67 a. Choose the null and alternative hypotheses. Ho: The two variables are independent.; HA: The two variables are dependent. Ho: 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.) Test statistic
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Given: - Total for Variable 1: 40 + 37 = 77 - Total for Variable 2: 40 + a = 40 + a - Grand Total: 40 + 37 + a Expected frequency for cell 1: (77 * 40) / (40 + 37 + a) Expected frequency for cell 2: (77 * a) / (40 + 37 + a) Show more…
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