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 270 people in Quebec, 221 of whom agreed that doctor assisted suicide should be allowed. (a) Construct 95% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted suicide? Round your answers to three decimal places. (b) How large a sample is needed to get the common 3 percentage point margin of error with the same 95% confidence level?