A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 833 full-time and 386 part-time seasonal employees from 2009 showed that 434 full-time employees were rehired compared with 189 part-time employees (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.10) (a-1) Choose the appropriate hypotheses. Assume TTF is the proportion of full-time employees and πrho is the proportion of part-time employees (a-2) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
(a-3) Find the test statistic Zcalc (Do not round the intermediate calculations. Round your answer to 3 decimal places.)