A simple random sample size of n=300 individuals who are currently employed is asked if they work at home at least once per week.

A simple random sample size of n=300 individuals who are currently employed is asked if they work at home at least once per week. Of the 300 employed individuals surveyed, 35 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.