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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 755 full-time and 415 part-time seasonal employees from 2009 showed that 419 full-time employees were rehired compared with 186 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 = 0.02.)
(a-1) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject the null hypothesis if zcalc > _____ or zcalc < ______.
(a-2) Find the test statistic zcalc. (Round intermediate calculations to 4 decimal places. Round your answer to 3 decimal places.)
zcalc_______
(b) Find the p-value. (Round your answer to 4 decimal places.)
p-value ______
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