A researcher wishes to​ estimate, with 90​% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms​ (GMOs). 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 78​% of the respondents said they support labeling legislation for GMOs. ​(c) Compare the results from parts​ (a) and​ (b).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A researcher wishes to​ estimate, with 90​% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms​ (GMOs). 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 78​% of the respondents said they support labeling legislation for GMOs.
​(c) Compare the results from parts​ (a) and​ (b).
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