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 555 companies in the food service and restaurant sector to further investigate their behavior (a) Specify the distribution form and parameters of the sampling distribution of p, the proportion of food recovered by your sample respondents. (Round your answer for to four decimal places. E(P) - %" Since no and n(1-0)- approximating the sampling distribution with a normal distribution appropriate in this case. (b) What is the probability that your survey will provide a sample proportion within 20.03 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 20.015 of the population proportion? (Round your answer to four decimal places)

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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 555 companies in the food service and restaurant sector to further investigate their behavior.
(a) Specify the distribution form and parameters of the sampling distribution of p, the proportion of food recovered by your sample respondents. (Round your answer for to four decimal places.)
E(P) -
%
Since no
and n(1-0)-
approximating the sampling distribution with a normal distribution
appropriate in this case.
(b) What is the probability that your survey will provide a sample proportion within 20.03 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 20.015 of the population proportion? (Round your answer to four decimal places.)
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 555 companies in the food service and restaurant sector to further investigate their behavior. (a) Specify the distribution form and parameters of the sampling distribution of p, the proportion of food recovered by your sample respondents. (Round your answer for to four decimal places.) E(P) - % Since no and n(1-0)- approximating the sampling distribution with a normal distribution appropriate in this case. (b) What is the probability that your survey will provide a sample proportion within 20.03 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 20.015 of the population proportion? (Round your answer to four decimal places.)
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