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.
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Show the sampling distribution of p¯, the proportion of food recovered by your sample respondents.
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What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion?
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What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion?
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