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Mary Jo Fitzpatrick is the vice president for Nursing Services at St. Luke's Memorial Hospital. Recently she noticed in the job postings for nurses that those who are unionized seem to offer higher wages. She decided to investigate and gathered the following information. Group Union Nonunion Sample Size 40 45 Sample Mean Wage $ 20.75 $ 19.80 Population Standard Deviation $ 2.25 $ 1.90 Would it be reasonable for her to conclude that union nurses earn more? Use the 0.02 significance level. What is the p-value? a. Is this a one-tailed or a two-tailed test? O One-tailed test OTwo-tailed test b. State the decision rule. (Round your answer to 2 decimal places.) The decision rule is to reject H, if z is greater than 2.09 c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic 2.09 d. What is your decision regarding Ho? Not reject He Rejected Ho e. What is the p-value? (Round your answer to 4 decimal places.) p-value 0.0183