The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels and greeting cards to potential donors on their list and ask for a voluntary contribution. To test a new campaign, they recently sent letters to a random sample of 100,000 potential donors and received 4781 donations. (a) Give a 95% 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 4.9%. Given the confidence interval you found, do you find that rate plausible? (a) What is the 95% confidence interval? The 95% confidence interval is from % to %. (Round to two decimal places as needed.)