A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5080 donations.​(a) Give a 99​% confidence interval for the true proportion of those from their entire mailing list who may donate.​(b) A staff member thinks that the true rate is 5​%.
Given the confidence interval you found, do you find that rate plausible?
​(a) What is the 99​% confidence interval?
The 99​% confidence interval is from ___% to ___%.
(Round to two decimal places as​ needed.)
Part 2
​(b) Given the confidence interval you found, is the proposed true rate, 5​%, ​plausible?
Yes or No