In 2021, a sociologist wants to conduct a study on obese people in Canada. To do so, he wants to know what sample size to use to estimate the proportion of obese Canadians with a margin of error of no more than 10% and a confidence interval of 99%. He knows that in 2020, the proportion of obese Canadians was estimated to be between 35% and 55%. If he uses the 2020 estimate, what would be the required sample size?

\f