Arizona State University conducted a study of whether running is healthy for men and women over age 60. During the first five years of the study, 1.5% of the 451 members of the 60-Plus Fitness Association died. We are interested in the proportion of people over 60 who ran and died in the same five-year period.

a. Define the random variables X and P′ in words.

b. Which distribution should you use for this problem? Explain.

c. Construct a 97% confidence interval for the population proportion of people over 60 who ran and died in the same five-year period.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

d. Explain what a “97% confidence interval” means for this study