SOLUTION: As a condition of employment, Fashion Industries applicants must pass a drug test. Fashion Industries randomly tests its employees throughout the year. Last year in the 530 random

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Question 923658: As a condition of employment, Fashion Industries applicants must pass a drug test. Fashion Industries randomly tests its employees throughout the year. Last year in the 530 random tests conducted, 20 employees failed the test.


(1)
Develop a 95 percent confidence interval for the proportion of employees that fail the test. (Round your answers to 3 decimal places.)


For the random tests conducted, the confidence interval is and .

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
As a condition of employment, Fashion Industries applicants must pass a drug test. Fashion Industries randomly tests its employees throughout the year. Last year in the 530 random tests conducted, 20 employees failed the test.
(1)
Develop a 95 percent confidence interval for the proportion of employees that fail the test. (Round your answers to 3 decimal places.)
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p-hat = 20/530 = 0.0377
ME = 1.96*sqrt[0.0377*0.9623/530] = 0.0162
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95% CI: 0.0377 - 0.0162 < p < 0.0377+0.0162
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Cheers,
Stan H.
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For the random tests conducted, the confidence interval is and .

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p = 20/530 = .0377
ME = 1.96sqrt(.0377*.9623/530)
CI = .0377 - ME < u < .0377 + ME
round confidence interval as directed.