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) Show the sampling distribution of p, the proportion of food recovered by your sample respondents. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -0.03 to about 0.05. The curve enters the viewing window near -0.03 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.01. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.05. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -2.9 to about 3.1. The curve enters the viewing window near -2.9 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.1. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 3.1. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -0.04 to about 0.04. The curve enters the viewing window near -0.04 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.00. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.04. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about 0.06 to about 0.14. The curve enters the viewing window near 0.06 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.10. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.14. (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.)

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) Show the sampling distribution of p, the proportion of food recovered by your sample respondents. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -0.03 to about 0.05. The curve enters the viewing window near -0.03 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.01. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.05. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -2.9 to about 3.1. The curve enters the viewing window near -2.9 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.1. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 3.1. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -0.04 to about 0.04. The curve enters the viewing window near -0.04 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.00. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.04. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about 0.06 to about 0.14. The curve enters the viewing window near 0.06 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.10. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.14. (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.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.4: Two-ways Tables

Problem 5E

See similar textbooks

Related questions

Concept explainers

Question

100%

QUESTION 10

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)

Show the sampling distribution of

the proportion of food recovered by your sample respondents.

A bell-shaped curve is above a horizontal axis labeled p.

The horizontal axis ranges from about -0.03 to about 0.05.
The curve enters the viewing window near -0.03 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.01.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.05.

A bell-shaped curve is above a horizontal axis labeled p.

The horizontal axis ranges from about -2.9 to about 3.1.
The curve enters the viewing window near -2.9 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.1.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 3.1.

A bell-shaped curve is above a horizontal axis labeled p.

The horizontal axis ranges from about -0.04 to about 0.04.
The curve enters the viewing window near -0.04 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.00.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.04.

A bell-shaped curve is above a horizontal axis labeled p.

The horizontal axis ranges from about 0.06 to about 0.14.
The curve enters the viewing window near 0.06 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.10.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.14.

(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

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.