A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate 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 32% 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 32% of the respondents said they think Congress is doing a good or excellent job? n = (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.

MATLAB: An Introduction with Applications
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A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate 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 32% 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 32% of the respondents said they think Congress is doing a good or excellent job?
n =
(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.
Transcribed Image Text:A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate 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 32% 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 32% of the respondents said they think Congress is doing a good or excellent job? n = (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.
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