TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streaming is gaining in popularity. A poll reported that 54% of 2341 American adults surveyed said they have watched digitally streamed TV programming on some type of device. (a) Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time. (Rou your answers to three decimal places.) Interpret the resulting interval. O We are 99% confident that the true population proportion lies above this interval. O We are 99% confident that this interval contains the true population proportion. O We are 99% confident that this interval does not contain the true population proportion. O We are 99% confident that the true population proportion lies below this interval. (b) What sample size would be required for the width of a 99% CI to be at most 0.03 irrespective of the value of p? (Round your answer up to the nearest integer.)

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TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streaming is gaining in popularity. A poll reported that 54% of
2341 American adults surveyed said they have watched digitally streamed TV programming on some type of device.
(a) Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time. (Round
your answers to three decimal places.)
Interpret the resulting interval.
O We are 99% confident that the true population proportion lies above this interval.
O We are 99%
confident that this interval contains the true population proportion.
O We are 99% confident that this interval does not contain the true population proportion.
O We are 99% confident that the true population proportion lies below this interval.
(b) What sample size would be required for the width of a 99% CI to be at most 0.03 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.
Transcribed Image Text:TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streaming is gaining in popularity. A poll reported that 54% of 2341 American adults surveyed said they have watched digitally streamed TV programming on some type of device. (a) Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time. (Round your answers to three decimal places.) Interpret the resulting interval. O We are 99% confident that the true population proportion lies above this interval. O We are 99% confident that this interval contains the true population proportion. O We are 99% confident that this interval does not contain the true population proportion. O We are 99% confident that the true population proportion lies below this interval. (b) What sample size would be required for the width of a 99% CI to be at most 0.03 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.
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