Question 868633: A doctor's office would like to estimate the proportion of couples that will not allow their child to receive the new vaccine with a 90% confidence interval. From a tiny sample, 26% of parents will not allow the new vaccine. Using this information, how many couples must be sampled in order for the estimate to be within 3% of the true proportion?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A doctor's office would like to estimate the proportion of couples that will not allow their child to receive the new vaccine with a 90% confidence interval. From a tiny sample, 26% of parents will not allow the new vaccine. Using this information, how many couples must be sampled in order for the estimate to be within 3% of the true proportion?
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Since E = z*sqrt(pq/n),
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n = [z/E]^2*pq
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n = [1.645/0.03]^2*(0.26*0.74) = 575 when rounded up
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Cheers,
Stan H.
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