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 6861 people and 4969 responded in favour of the buliding 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? Note: 1- Round any intermediate numbers to 4 decimal places. 2- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places.