After You Calculate the Sample Size Needed to Estimate a Population

Short Answer

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: $\begin{array}{|l|l|}\hline\text { A. } & 800 . \\\hline \text { B. } & 200 . \\\hline \text { C. } & 4000 . \\\hline \text { D. } & 1600 \\\hline\end{array}$