A researcher wishes to​ estimate, with 90​% ​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 32​% of the respondents said they eat fast food four to six times per week. ​(c) Compare the results from parts​ (a) and​ (b).

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A researcher wishes to​ estimate, with
90​%
​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
32​%
of the respondents said they eat fast food four to six times per week.
​(c) Compare the results from parts​ (a) and​ (b).
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