Summers Campos

08/04/2023 · Senior High School

A researcher wishes to estimate, with 95\% confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estima must be accurate within \( 3 \% \) of the true proportion. (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 \( 42 \% \) of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? \( \mathrm{n}=\square \) (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that \( 42 \% \) of the respondents said they think Congress is doing a good or excellent job? \( n=\square \) (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 has no effect on the minimum sample size needed. C. Having an estimate of the population proportion raises the minimum sample size needed.