According to a government​ agency, ​22.4% of the population of a certain country smoked in 2016. In 2018​, a random sample of 696 citizens of that country was​ selected, 114 of whom smoked. Construct a ​99% confidence interval to estimate the actual proportion of people who smoked in the country in 2018.
The confidence interval has a lower limit of
and an upper limit of
.