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 Sample Size Sample Mean Wage Population Standard Deviation Union 40 $20.75 $2.25 Nonunion 45 $19.80 $1.90 Would it be reasonable for her to conclude that union nurses earn more? Use the .02 significance level. What is the p-value?