While flu vaccination does not prevent COVID-19, flu vaccination is critical to protecting Australians' general health from influenza. A researcher surveyed a random sample of 60 people who had been given the flu vaccine last year and found that 13 did not contract the flu.

1. What is the proportion of people who did not contract the flu? (round to 3dp)
2. What is the lower bound of a 95%confidence interval for the proportion of people who did not contract the flu? (round to 3dp)Answer
3. What is the upper bound of a 95%confidence interval for the proportion of people who did not contract the flu? (round to 3dp)