A marketing firm is trying to assess how many Canadians aged 20-29 own a car. A simple random sample of size n = 500 Canadians was obtained, yielding the data in cars.csv (linked below). In particular, each respondent reported their age, and their car ownership status (coded as 1 for yes, 0 for no). Census information reports Canada's population to be 35.16 million people. Round answers to the nearest integers.

LINK for cars.csv ( [ the link to 'Download the csv file here' is broken ] )

(a) Give an estimate for the number of Canadians aged 20-29 who own a car.

(b) Give a standard error to accompany this estimate.

(c) Now say that you are provided with additional census information that percent of Canadians are aged 20-29. In light of this further information, modify your estimate from part (a).

(b) Give a standard error to accompany the modified estimate.