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 55% of 2342 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 this interval does not contain the true population proportion. We are 99% confident that the true population proportion lies below this interval. We are 99% confident that this interval contains the true population proportion. O We are 99% confident that the true population proportion lies above 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.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 55% of 2342 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.
- ○ We are 99% confident that this interval does not contain the true population proportion.
- ○ We are 99% confident that the true population proportion lies below this interval.
- ○ We are 99% confident that this interval contains the true population proportion.
- ○ We are 99% confident that the true population proportion lies above 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 p̂? (Round your answer up to the nearest integer.)

[____]
Transcribed Image Text:**Transcription:** 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 55% of 2342 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. - ○ We are 99% confident that this interval does not contain the true population proportion. - ○ We are 99% confident that the true population proportion lies below this interval. - ○ We are 99% confident that this interval contains the true population proportion. - ○ We are 99% confident that the true population proportion lies above 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 p̂? (Round your answer up to the nearest integer.) [____]
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