(Solution) - A study of full time emergency medical service EMS workers published -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A study of full-time emergency medical service (EMS) workers published in the Journal of Allied Health (Fall 2011) found that only about 3% leave their job in order to retire. Assume that the true proportion of all full-time EMS workers who leave their job in order to retire is p = .03. In a random sample of 1,000 full-time EMS workers, let p? represent the proportion who leave their job in order to retire.
a. Describe the properties of the sampling distribution of p?.
b. Compute P(p? < .05). Interpret this result.
c. Compute P(p? > .025). Interpret this result.