Math 1 1 Final Exam Summer 2021 Name Show all your work as needed for full credit (20 points each). Use a x2 test to test the claim that in the given contingency table, the row variable and the column variable are independent 1) Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent. Yes No Undecided Employed 30 15 in 2 Unemployed 20 25 a. State the null and alternative hypotheses. b. Calculate the test statistics. Round each value to 3 decimal places as needed. (You must show how you calculate the test statistics by filling in the tables below. ) (0 -E)2 O-E (0 - E) 2 E x 2 = c. Find the p-value. Round to 3 decimal places as needed. (You may use an online calculator to find the p-value.) d. Ata =0.1, what is your: i. Decision: Reject or Fail to reject the null hypothesis (circle one)