SOLUTION: You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 90 percent confidence level and state that the estimated proportion mu

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Question 923655: You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 90 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion. A pilot survey reveals that 5 of the 48 sampled hold two or more jobs.


How many in the workforce should be interviewed to meet your requirements? (Round up your answer to the next whole number.)


Number of persons to be interviewed

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 90 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion. A pilot survey reveals that 5 of the 48 sampled hold two or more jobs.

How many in the workforce should be interviewed to meet your requirements? (Round up your answer to the next whole number.)
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Formula::
Since E = z*s/sqrt(n)
E = z*sqrt(pq/n)
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n = [z/E]^2*pq
n = [1.645/0.02]^2*(5/48)(41/48)
n = 602 when rounded up
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Cheers,
Stan H.
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