ecify the distribution form and parameters of the sampling distribution of p, the proportion of food recovered by your sample respondents. (Round ur answer for a- to four decimal places.) Р [p) = P = Since np = his case. and n(1 p) = , approximating the sampling distribution with a normal distribution -Select-- appropriate in 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.) 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 565 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.)
Р
E(p) =
Р
=
Since np =
this case.
and n(1 p) =
, approximating the sampling distribution with a normal distribution ---Select--- appropriate in
(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.)
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 565 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.) Р E(p) = Р = Since np = this case. and n(1 p) = , approximating the sampling distribution with a normal distribution ---Select--- appropriate in (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.)
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