A certain forum reported that in a survey of 2006 American adults, 24% 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 de Interpret the resulting interval. O 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. 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.
A certain forum reported that in a survey of 2006 American adults, 24% 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 de Interpret the resulting interval. O 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. 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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![A certain forum reported that in a survey of 2006 American adults, 24% 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.
O 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.
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc32f563a-6b55-4123-a4c3-1254c39a7403%2F70b23315-9cec-4652-a12e-29b575b509b2%2Fxqnb6b7_processed.png&w=3840&q=75)
Transcribed Image Text:A certain forum reported that in a survey of 2006 American adults, 24% 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.
O 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.
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.)
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