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Part 1 A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within

Part 1 A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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Part 1
A researcher wishes to​ estimate, with
95​%
​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within
4​%
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
36​%
of the respondents said they eat fast food four to six times per week.
​(c) Compare the results from parts​ (a) and​ (b).
 
 
 

Question content area bottom

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
36​%
of the respondents said they eat fast food four to six times per​ week?
 
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 reduces the minimum sample size needed.
 
C.
Having an estimate of the population proportion raises the minimum sample size needed.
 
 
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