Unexplained respiratory symptoms reported by athletesare often incorrectly considered

Chapter 7, Problem 51

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Unexplained respiratory symptoms reported by athletesare often incorrectly considered secondary toexercise-induced asthma. The article High Prevalenceof Exercise-Induced Laryngeal Obstruction inAthletes (Medicine and Science in Sports andExercise, 2013: 20302035) suggested that many suchcases could instead be explained by obstruction of thelarynx. In a sample of 88 athletes referred for anasthma workup, 31 were found to have the EILOcondition.a. Calculate and interpret a confidence interval using a95% confidence level for the true proportion of allathletes found to have the EILO condition underthese circumstances.b. What sample size is required if the desired width ofthe 95% CI is to be at most .04, irrespective of thesample results?c. Does the upper limit of the interval in (a) specify a95% upper confidence bound for the proportionbeing estimated? Explain.

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