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A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who eat fast...

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 5​% 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 20​% 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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