Stanford University conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 6.1% of the 587members of the 50-Plus Fitness Association died. We are interested in the proportion of people over 50who ran and died in the same eight-year period.

Construct a 96%96% confidence interval for the population proportion of people over 5050who ran and died in the same eight-year period. Enter your answer in interval notation. Round your answer to four decimal places. Do not round any intermediate calculations.