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.)0.2540.306Interpret 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.)2140You may need to use the appropriate table in the Appendix of Tables to answer this question.

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

Answered: certain forum reported that in a survey…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.