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 1% 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 38% 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? (Round up to the nearest whole number as needed.) n= (b) What is the minimum sample size needed using a prior study that found that 38% of the respondents said they think Congress is doing a good or excellent job? (Round up to the nearest whole number as needed.) n= (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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 1% 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 38% 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?
= (Round up to the nearest whole number as needed.)
(b) What is the minimum sample size needed using a prior study that found that 38% of the respondents said they think Congress is doing a good or excellent job?
= (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.
Transcribed Image 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 1% 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 38% 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? = (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 38% of the respondents said they think Congress is doing a good or excellent job? = (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.
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