A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estimate must be accurate within 4​% of the true proportion. ​(a) No

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A researcher wishes to​ estimate, with
99​%
​confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estimate must be accurate within
4​%
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
22​%
of the respondents said they think Congress is doing a good or excellent job.
​(c) Compare the results from parts​ (a) and​ (b).
 
 
 

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Part 1
​(a) What is the minimum sample size needed assuming that no prior information is​ available?
 
n=enter your response here
​(Round up to the nearest whole number as​ needed.)
Part 2
​(b) What is the minimum sample size needed using a prior study that found that
22​%
of the respondents said they think Congress is doing a good or excellent​ job?
 
n=enter your response here
​(Round up to the nearest whole number as​ needed.)
Part 3
​(c) How do the results from ​(a) and ​(b)​ compare?
 
 
A.
Having an estimate of the population proportion has no effect on 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 reduces the minimum sample size needed.
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