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 58% 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 the true population proportion lies below this interval. O We are 99% confident that this interval does not contain the true population proportion. O 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 0.04 irrespective of the value of p? (Round your answer up to the nearest integer.)

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