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 515 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. -0.03 –0.02 –0.01 0.00 0.01 0.02 0.03 0.07 0.08 0.09 0.10 0.11 0.12 0.13 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 1. 2 (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.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
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 515 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.
-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03
0.07 0.08 0.09
0.10
0.11
0.12 0.13
-0.02 -0.01 0.00 0.01 0.02 0.03 0.04
0.05
-2
-1 0
1
2
3
(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 515 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. -0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.07 0.08 0.09 0.10 0.11 0.12 0.13 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 -2 -1 0 1 2 3 (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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON