Question

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. 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.) Which distribution should you use for this problem? (Round your answers to four decimal places.) Explain your choice. The Student's t-distribution should be used because we do not know the standard deviation. The Student's t-distribution should be used because $\sqrt{npq} \le 10$, which implies a small sample. The binomial distribution should be used because the two outcomes are "the runner died" and "the runner did not die." The standard normal distribution should be used because we are interested in proportions. 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.)

Name: 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 15 of the 451 members of the 50 plus fitness assoc 65162
Uploaded: 2024-03-25T23:55:54-08:00
Duration: 2 min 20 s
Channel: Breanna Ollech
Description: 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 15 of the 451 members of the 50 plus fitness assoc 65162

          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.
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.)
Which distribution should you use for this problem? (Round your answers to four decimal places.)
Explain your choice.
The Student's t-distribution should be used because we do not know the standard deviation.
The Student's t-distribution should be used because $\sqrt{npq} \le 10$, which implies a small sample.
The binomial distribution should be used because the two outcomes are "the runner died" and "the runner did not die."
The standard normal distribution should be used because we are interested in proportions.
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.)

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 15 of the 451 members of the 50 plus fitness assoc 65162

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