1. Are the conditions for a confidence interval for a proportion met? Provide details to justify your answer. 2. Write down the 90% confidence interval, the 95% confidence interval, and the 99% confidence interval for the proportion of all young people who feel the future is frightening with the endpoints rounded to four places past the decimal. Then for each interval, give the midpoint of the interval, the width of the interval, and the margin of error. (You may want to summarize

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Worksheet 1
Test and Cl for One Proportion Morgan Thomas
Method
p: event proportion
Normal approximation method is used for this analysis.
Descriptive Statistics
N
10000
Worksheet 1
Test and Cl for One Proportion Morgan Thomas
Method
p: event proportion
Normal approximation method is used for this analysis.
Descriptive Statistics
N
10000
Event
7549
Descriptive Statistics
N
10000
Event
7549
Worksheet 1
Test and Cl for One Proportion Morgan Thomas
Method
p: event proportion
Normal approximation method is used for this analysis.
Event
7549
Sample p
0.754900
90% Cl for p
(0.747825, 0.761975)
Sample p
95% Cl for p
0.754900 (0.746469, 0.763331)
Sample p
0.754900
99% Cl for p
(0.743820, 0.765980)
Transcribed Image Text:Worksheet 1 Test and Cl for One Proportion Morgan Thomas Method p: event proportion Normal approximation method is used for this analysis. Descriptive Statistics N 10000 Worksheet 1 Test and Cl for One Proportion Morgan Thomas Method p: event proportion Normal approximation method is used for this analysis. Descriptive Statistics N 10000 Event 7549 Descriptive Statistics N 10000 Event 7549 Worksheet 1 Test and Cl for One Proportion Morgan Thomas Method p: event proportion Normal approximation method is used for this analysis. Event 7549 Sample p 0.754900 90% Cl for p (0.747825, 0.761975) Sample p 95% Cl for p 0.754900 (0.746469, 0.763331) Sample p 0.754900 99% Cl for p (0.743820, 0.765980)
1. Are the conditions for a confidence interval for a proportion met? Provide details to justify your
answer.
2. Write down the 90% confidence interval, the 95% confidence interval, and the 99% confidence
interval for the proportion of all young people who feel the future is frightening with the
endpoints rounded to four places past the decimal. Then for each interval, give the midpoint of
the interval, the width of the interval, and the margin of error. (You may want to summarize
these in a table.) Show how you use the results from the Minitab output to find the margins of
error. Your computations should be simple. Do not use formulas from the text to do work that
Minitab has already done for you. (Note that the margin of error for the 95% confidence
interval does not match the one given in the article, most likely because a more complicated
formula was used in the study due to the sampling design.)
3.
How does increasing the confidence level affect the midpoint of a confidence interval when the
sample size remains the same?
4.
How does increasing the confidence level affect the margin of error of a confidence interval
when the sample size remains the same?
5. Interpret the 95% confidence interval in the context of the problem.
Transcribed Image Text:1. Are the conditions for a confidence interval for a proportion met? Provide details to justify your answer. 2. Write down the 90% confidence interval, the 95% confidence interval, and the 99% confidence interval for the proportion of all young people who feel the future is frightening with the endpoints rounded to four places past the decimal. Then for each interval, give the midpoint of the interval, the width of the interval, and the margin of error. (You may want to summarize these in a table.) Show how you use the results from the Minitab output to find the margins of error. Your computations should be simple. Do not use formulas from the text to do work that Minitab has already done for you. (Note that the margin of error for the 95% confidence interval does not match the one given in the article, most likely because a more complicated formula was used in the study due to the sampling design.) 3. How does increasing the confidence level affect the midpoint of a confidence interval when the sample size remains the same? 4. How does increasing the confidence level affect the margin of error of a confidence interval when the sample size remains the same? 5. Interpret the 95% confidence interval in the context of the problem.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman