Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it useful to reference the appropriate table: chi-square table or Ftable) Variable A 1 38 32 Variable B 1 2 a. Choose the null and alternative hypotheses. 2 43 62 Ho: The two variables are independent.; HA: The two variables are dependent. Ho: The two variables are dependent.; HÃ: The two variables are independent. Test statistic 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. 0.025 ≤ p-value < 0.05 S 0.01 ≤ p-value < 0.025 p-value < 0.01 p-value > 0.10 0.05 p-value < 0.10 d. What is your conclusion? Reject Ho; we can conclude that the two categories are dependent. Do not reject Ho; we can conclude that the two categories are dependent. Reject Ho; we cannot conclude that the two categories are dependent. O Do not reject Ho; we cannot conclude that the two categories are dependent.
Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it us
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Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it us
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