certain forum reported that in a survey of 2009 American adults, 28% said they believed in astrology. (a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal plac 0.254 0.306 Interpret the resulting interval. O We are 99% confident that this interval does not contain the true population mean. O We are 99% confident that this interval contains the true population mean. O We are 99% confident that the true population mean lies above this interval. O we are 99% confident that the true population mean lies below this interval. (b) What sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? (Round your answer up to the nearest integer.) 2140 You may need to use the appropriate table in the Appendix of Tables to answer this question.

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
A certain forum reported that in a survey of 2009 American adults, 28% said they believed in astrology.
(a)
Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.)
 
   ,   
 
Interpret the resulting interval.
We are 99% confident that this interval does not contain the true population mean.We are 99% confident that this interval contains the true population mean.    We are 99% confident that the true population mean lies above this interval.We are 99% confident that the true population mean lies below this interval.
(b)
What sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p̂? (Round your answer up to the nearest integer.)
 
You may need to use the appropriate table in the Appendix of Tables to answer this question.
A certain forum reported that in a survey of 2009 American adults, 28% said they believed in astrology.
(a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.)
0.254
0.306
Interpret the resulting interval.
O We are 99% confident that this interval does not contain the true population mean.
O We are 99% confident that this interval contains the true population mean.
O We are 99% confident that the true population mean lies above this interval.
O We are 99% confident that the true population mean lies below this interval.
(b) What sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? (Round your answer up to the nearest integer.)
2140
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A certain forum reported that in a survey of 2009 American adults, 28% said they believed in astrology. (a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.) 0.254 0.306 Interpret the resulting interval. O We are 99% confident that this interval does not contain the true population mean. O We are 99% confident that this interval contains the true population mean. O We are 99% confident that the true population mean lies above this interval. O We are 99% confident that the true population mean lies below this interval. (b) What sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? (Round your answer up to the nearest integer.) 2140 You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
Step 1

Givensample size(n)=2009sample proportion(p^)=0.28confidence interval = 99%

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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