a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) = .3300 .0332 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4 decimals). probability = c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(f) = .3300
a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) = .3300 .0332 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4 decimals). probability = c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(f) = .3300
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have
been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to
estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than
once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table.
a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals).
E(p)
.3300
Op =
.0332
b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4 decimals).
probability
c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4 decimals).
E(p) =
.3300
Op =
d. Based upon a smaller sample of only 150 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4
decimals).
probability
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller
sample in parts (c) and (d)?
Reduced by
Have gain in precision by increasing the sample. V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc65b8e9f-7d79-4d81-a292-1e462fb10f8f%2Fe35a3e50-a646-4c18-9bab-7aae6cb72455%2Fwqka3av_processed.png&w=3840&q=75)
Transcribed Image Text:Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have
been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to
estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than
once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table.
a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals).
E(p)
.3300
Op =
.0332
b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4 decimals).
probability
c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4 decimals).
E(p) =
.3300
Op =
d. Based upon a smaller sample of only 150 St. Paulites, what is the probability that the sample proportion will be within 0.06 of the population proportion (to 4
decimals).
probability
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller
sample in parts (c) and (d)?
Reduced by
Have gain in precision by increasing the sample. V
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman