A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 450 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period. (i) State the confidence interval. (Round your answers to four decimal places.)

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A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 450 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
  • Construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period.
    (i) State the confidence interval. (Round your answers to four decimal places.)
     

    (ii) Sketch the graph.
       
    (iii) Calculate the error bound. (Round your answer to four decimal places.)
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