The school board is looking to add a new school into a very large district. In order to determine if they should proceed with this decision the board has done a survey of 6799 people and 5453 responded in favour of the building of a new school. As this decision has huge implications for the members of the district the board has decided that a 99% confidence interval should be used. What is the lower limit of this interval?

1- Only round your final answer.Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places.