Question
Prompt
A community organization surveyed a random sample of residents of the community to estimate the percentage of residents who visit their local library at least once per month. From the survey, the organization estimates that of residents of the community visit their local library at least once per month, with an associated margin of error of . The organization repeated the survey with a random sample of residents that was double the original sample size. Assuming the margins of error are calculated in the same way for both studies, which of the following is true about the margin of error associated with the estimate from the larger sample?