An Industrial Statistician Wants to Determine Whether Efforts to Promote

question 53

Essay

An industrial statistician wants to determine whether efforts to promote safety have been successful. By checking the records of 250 employees, he finds that 30 of them have suffered either minor or major injuries that year. A random sample of 400 employees taken in the previous year revealed that 80 had suffered some form of injury.
a. Can the statistician infer at the 5% significance level that efforts to promote safety have been successful?
b. What is the p-value of the test?

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Definitions:

Leading Statements

Statements or questions that suggest a particular answer or outcome, potentially biasing the response.

Sexually Suggestive Gestures

Actions or signs made with the body that imply sexual interest or intent, often considered inappropriate in certain contexts.

Longitudinal Counseling

A counseling approach that involves extended engagement over time to observe and support changes or developments in an individual's behavior, thoughts, or emotions.

Explorative

Research designed to investigate an area or phenomenon that is not well understood.