After Calculating the Sample Size Needed to Estimate a Population

Short Answer

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum allowable error must be reduced to just 0.025. If the original calculation led to a sample size of 1000, the sample size will now have to be: $\begin{array}{|l|l|}\hline\text { A. } & 2000 . \\\hline \text { B. } & 4000 . \\\hline \text { C. } & 1000 . \\\hline \text { D. } & 8000 . \\\hline\end{array}$