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You may need to use the appropriate appendix table or technology to answer this question In 2017 a 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 t true population proportion and that you plan to take a sample survey of 535 companies in the food service and restaurant sector to further investigate their behavior a Show the sampling distribution of p the proportion of food recovered by your sample respondents 0 07 0 08 0 09 0 10 0 11 0 12 0 13 2 1 0 1 2 3 0 02 0 01 0 00 0 01 0 02 0 03 0 04 0 05 0 03 0 02 0 01 0 00 0 01 0 02 0 03 b What is the probability that your survey will provide a sample proportion within 0 03 of the population proportion Round your answer to four decimal places c What is the probability that your survey will provide a sample proportion within 0 015 of the population proportion Round your answer to four decimal places P G
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