researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 2​% of the population 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 eat fast food four to six times per week. ​(c) Compare the results from parts​ (a) and​ (b).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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A researcher wishes to​ estimate, with
99​%
​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within
2​%
of the population 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 eat fast food four to six times per week.
​(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=16921692
​(Round up to the nearest whole number as​ needed.)
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