A Gallup poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 285 people in Quebec, 222 of whom agreed that doctor-assisted suicide should be allowed.

(a) What is the margin of error of the large-sample 99% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted suicide? MoE: __________

(b) How large a sample is needed to get a 3 percentage point margin of error (this is very commonly used)? Use the previous sample as a pilot study to get p*. (You may need four decimal places in your critical value to solve this problem.) Sample size: __________