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About of the population in a large region are between the ages of 40 and 65 , according to the country's census. However, only of the 2900 employees at a company in the region are between the ages of 40 and 65 . Lawyers are concerned that the company is engaging in age discrimination, not hiring enough people in the age group 40 to 65 . Assume the number of employees inthis compnay is a sample. Check whether the conditions for using the one-proportion -test are met.
Are all the conditions satisfied? Select all that apply.
A. No, the Large Population condition is not satisfied or cannot be reasonably assumed.
B. No, the Independence condition is not satisfied or cannot be reasonably assumed.
C. No, the Large Sample Size condition is not satisfied or cannot be reasonably assumed.
D. No, the Random Sample condition is not satisfied or cannot be reasonably assumed.
E. Yes, all conditions are satisfied or can be reasonably assumed.
Studdy Solution
Evaluate the Random Sample condition:
- The sample should be randomly selected from the population.
- The problem does not specify that the sample is random, so this condition cannot be reasonably assumed.
Based on the evaluation:
- A: No, the Large Population condition is not satisfied or cannot be reasonably assumed. (Assumed satisfied)
- B: No, the Independence condition is not satisfied or cannot be reasonably assumed.
- C: No, the Large Sample Size condition is not satisfied or cannot be reasonably assumed. (Satisfied)
- D: No, the Random Sample condition is not satisfied or cannot be reasonably assumed.
The correct selections are B and D.
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