In 2017, the Restaurant Hospitality website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 525 companies in the food service and restaurant sector to further investigate their behavior. Show the sampling distribution of p¯, the proportion of food recovered by your sample respondents. What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion? What is the probability that your survey will provide a sample proportion within ±.015 of the population

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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In 2017, the Restaurant Hospitality website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 525 companies in the food service and restaurant sector to further investigate their behavior.

  1. Show the sampling distribution of p¯, the proportion of food recovered by your sample respondents.

  2. What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion?

  3. What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion?

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