Vail Resorts tracks the proportion of seasonal employees who are rehired each and every season. Rehiring a seasonal employee is advantageous in many ways comprising lowering the costs incurred throughout the hiring procedure such as training costs. A random sample of 755 full-time and 415 part-time seasonal employees from 2009 showed that number of full-time rehires was 419 and the number of part-time rehires was 186. Is there a significant difference in proportion of rehires between the full-time as well as part-time seasonal employees? (Use a = 0.02)
1. Calculate the z statistic round to 4 decimal points.