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 the 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. O 0.07 0.08 0.09 0.10 0.11 0.12 0.13 P -0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 (b) What is the probability that your survey will provide a sample proportion within 10.03 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 10.015 of the population proportion? (Round your answer to four decimal places.) -2 -1 0 1 Ⓡ

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Chapter1: Combinatorial Analysis
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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 the 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
P
-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03
P
^^
P
-0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05
O
(b) What is the probability that your survey will provide a sample proportion within 10.03 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.)
-2
-1
0
1
2
3
P
Transcribed Image Text: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 the 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 P -0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 P ^^ P -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 O (b) What is the probability that your survey will provide a sample proportion within 10.03 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.) -2 -1 0 1 2 3 P
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