A researcher wishes to estimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 5% of the true...


A researcher wishes to estimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 5% of the true proportion.<br>(a) No preliminary estimate is available. Find the minimum sample size needed.<br>(b) Find the minimum sample size needed, using a prior study that found that 40% of the respondents said they think Congress is doing a good or excellent job.<br>(c) Compare the results from parts (a) and (b).<br>(a) What is the minimum sample size needed assuming that no prior information is available?<br>n=<br>(Round up to the nearest whole number as needed.)<br>(b) What is the minimum sample size needed using a prior study that found that 40% of the respondents said they think Congress is doing a good or excellent job?<br>n3=<br>(Round up to the nearest whole number as needed.)<br>(c) How do the results from (a) and (b) compare?<br>O A. Having an estimate of the population proportion has no effect on the minimum sample size needed.<br>O B. Having an estimate of the population proportion raises the minimum sample size needed.<br>O C. Having an estimate of the population proportion reduces the minimum sample size needed.<br>

Extracted text: A researcher wishes to estimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 5% 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 40% 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? n= (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 40% of the respondents said they think Congress is doing a good or excellent job? n3= (Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? O A. Having an estimate of the population proportion has no effect on the minimum sample size needed. O B. Having an estimate of the population proportion raises the minimum sample size needed. O C. Having an estimate of the population proportion reduces the minimum sample size needed.

Jun 08, 2022
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