SOLUTION: After you calculate the sample size needed to estimate a population proportion to within 0.05, your statistics lecturer tells you the maximum allowable error must be reduced to jus

Question 1181457: After you calculate the sample size needed to estimate a population proportion to within 0.05, your statistics lecturer tells you the maximum allowable error must be reduced to just 0.025. If the original calculation led to a sample size of 400, the sample size will now have to be: *
2 points
4000.
1600.
800.
200.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The standard error for population sample proportion is .
It is initially known that .
==> ===> .
Then from the new requirement of a standard error of 0.025,
, we get , after squaring both sides.

From this we get .

RELATED QUESTIONS
After calculating the sample size needed to estimate a population proportion to within... (answered by Boreal)

After calculating the sample size needed to estimate a population proportion to within... (answered by jim_thompson5910)

You want to estimate, with 95% confidence, the population proportion of U.S. adults who... (answered by stanbon)

you want to obtain a sample to estimate the population proportion you would like to be at (answered by ewatrrr)

After calculating the sample size needed to estimate a population proportion to within... (answered by oscargut)

You want to obtain a sample to estimate a population proportion. Based on previous... (answered by Boreal)

You want to obtain a sample to estimate a population proportion. You have no reasonable... (answered by Boreal)

You wish to estimate with 95% confidence the population proportion of US adults who think (answered by jim_thompson5910)

A population proportion is .40. A simple random sample of size 200 will be taken and the (answered by Boreal)