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 300 people in Quebec, 244 of whom agreed that doctor-assisted suicide should be allowed.

(a) What is the margin of error of the large-sample 99.9% 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: