SOLUTION: The govenment is in the process of formulating a poverty reductiong policy and wants an estimate of the proportion of the population living below the poverty line . It wants the es

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Question 74935: The govenment is in the process of formulating a poverty reductiong policy and wants an estimate of the proportion of the population living below the poverty line . It wants the estimate to be within 4 % of the true population . assuming a 97.14 % confidense level . determine the appropriate sample size to use for the study .
Answer by stanbon(75887) About Me  (Show Source):
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The govenment is in the process of formulating a poverty reductiong policy and wants an estimate of the proportion of the population living below the poverty line . It wants the estimate to be within 4 % of the true population . assuming a 97.14 % confidense level . determine the appropriate sample size to use for the study .
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E=z*sqrt(pq/n)
Interchange E and sqrt(n) to get:
sqrt(n)=[z*sqrt(pq)]/E
z* for 97.14% confidence = 2.1889565
Since p is not given use p=0.5=q
E=0.04
Substitute to get:
sqrt(n) = [2.1889565*sqrt(0.5^2)]/0.04
sqrt(n) = 27.36
n=748 when rounded to a whole number
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Cheers,
Stan H.