A simple random sample yields questionnaire responses from n = residents of BC. Of these, report being current members of the British Columbia Automobile Association (BCAA). Provide answers to the following to three decimal places.

(a) Give a 95% confidence interval for the proportion of BC residents who are BCAA members.

(, ).

(b) Combine the survey results with the fact that BCAA reports having 800,000 members, to obtain a 95% confidence interval for the population size of British Columbia. Be sure not to round any results you may use from (a), and provide the upper and lower bounds for your interval.

(, ).