A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 4876 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 4.8%. 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.) (b) Given the confidence interval you found, is the proposed true rate, 4.8%, plausible? O Yes O No