A Population Proportion · Exercise 47

Public Policy Polling recently conducted a survey asking adults across the U.S. about music preferences. When asked, 80 of the 571 participants admitted that they have illegally downloaded music.

(a) Create a 99% confidence interval for the true proportion of American adults who have illegally downloaded music.
(b) This survey was conducted through automated telephone interviews. The error bound of the survey compensates for sampling error, or natural variability among samples. List some factors that could affect the survey’s outcome that are not covered by the margin of error.
(c) Without performing any calculations, describe how the confidence interval would change if the confidence level changed from 99% to 90%.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §8.3 A Population Proportion · Exercise 47