Question

Given the following contingency table, conduct a test for independence at the 10% 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 32 39 2 35 51 a. Choose the null and alternative hypotheses. 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.) c. Find the p-value. 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 p-value 0.10 d. What is your conclusion? Reject H0; we can conclude that the two categories are dependent. Do not reject H0; we can conclude that the two categories are dependent. Reject H0; we cannot conclude that the two categories are dependent. Do not reject H0; we cannot conclude that the two categories are dependent.

Answer 1