Peters Brewer

07/26/2023 · Junior High School

A researcher wishes to estimate, with \( 99 \% \) confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within \( 5 \% \) of the true proportior (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that \( 66 \% \) of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that \( 66 \% \) of the respondents support labeling legislation? \( \mathrm{n}=\square \) (Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? A. Having an estimate of the population proportion reduces the minimum sample size needed. B. Having an estimate of the population proportion raises the minimum sample size needed. C. Having an estimate of the population proportion has no effect on the minimum sample size needed.