The employee benefits manager of a large public university would like to estimate the proportion of full-time employees who prefer adopting the first (plan A) of three available health care plans in the next annual enrollment period. A random sample of the universitys employees and their tentative health care preferences are given in the file Healthcare.xlsx below. Calculate a 88% confidence interval for the proportion of all the universitys employees who favor plan A. What are the values of lower limit and upper limit? Round your answer to 3 decimal places.