A Population Proportion · Exercise 39

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, 1.5 percent of the 451 members of the 50-Plus Fitness Association died. We are interested in the proportion of people over 50 who ran and died in the same eight year period.

(a) Define the random variables X and P′ in words.
(b) Which distribution should you use for this problem? Explain your choice.
(c) Construct a 97 percent confidence interval for the population proportion of people over 50 who ran and died in the same 8-year period.
(a) State the confidence interval.
(b) Sketch the graph.
(c) Calculate the error bound.
(d) Explain what a 97 percent confidence interval means for this study.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §8.3 A Population Proportion · Exercise 39