According to a 2009 Reader's Digest article, 12% people throw away about a pound of what they buy at the grocery store for every 15lbs purchased. Assume this is the true proportion and you plan to randomly survey 2800 grocery shoppers to investigate their behavior. A) What is the probability that the sample proportion does not exceed 0.2? Answer to 4 decimal places. B) Are we justified in invoking the Central Limit Theorem Here? Provide your answer and a short justification.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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According to a 2009 Reader's Digest article, 12% people throw away about a pound of what they buy at the grocery store for every 15lbs purchased. Assume this is the true proportion and you plan to randomly survey 2800 grocery shoppers to investigate their behavior.

A) What is the probability that the sample proportion does not exceed 0.2? Answer to 4 decimal places.

B) Are we justified in invoking the Central Limit Theorem Here? Provide your answer and a short justification.

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