A Confidence Interval for 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% 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% confidence interval for the population proportion of people over 50 who ran and died in the same eight–year period.
(a) State the confidence interval.
(b) Sketch the graph.
(d) Explain what a “97% confidence interval” means for this study.
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OpenStax, Introductory Business Statistics 2e · §8.3 A Confidence Interval for A Population Proportion · Exercise 39
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