A certain forum reported that in a survey of 2004 American adults, 21% 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.) 0.187 ✔0.233 Interpret the resulting interval. O We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. O We are 99% confident that this interval does not contain the true population mean. O We are 99% confident that the true population mean lies above this interval. (b) What sample size would 686 x 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.) 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 2004 American adults, 21% 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.) 0.187 ✔0.233 Interpret the resulting interval. O We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. O We are 99% confident that this interval does not contain the true population mean. O We are 99% confident that the true population mean lies above this interval. (b) What sample size would 686 x 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.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A certain forum reported that in a survey of 2004 American adults, 21% 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.)
0.187
"
0.233
Interpret the resulting interval.
O We are 99% confident that the true population mean lies below this interval.
● We are 99% confident that this interval contains the true population mean.
O We are 99% confident that this interval does not contain the true population mean.
O We are 99% confident that the true population mean lies above 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.)
686
X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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