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, 2.8% of the 450members 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 97% confidence interval for the population proportion of people over 50who 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.