Question: 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:

Given the following contingency table, conduct a test for independence at the 5% significance level. (You may find it useful to reference the

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 B 1 2 Variable A 1 2 23 47 32 53 a. Choose the null and alternative hypotheses. O 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 c. Find the p-value. O p-value > 0.01 O 0.01 s p-value 0.01 O 0.01 s p-value

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