13. Ear infections. A new vaccine was recently tested

Chapter 22, Problem 13

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13. Ear infections. A new vaccine was recently tested tosee if it could prevent the painful and recurrent ear infectionsthat many infants suffer from. The Lancet, a medicaljournal, reported a study in which babies about a yearold were randomly divided into two groups. One groupreceived vaccinations; the other did not. During the followingyear, only 333 of 2455 vaccinated children had earinfections, compared to 499 of 2452 unvaccinated childrenin the control group.a) Are the conditions for inference satisfied?b) Find a 95% confidence interval for the difference inrates of ear infection.c) Use your confidence interval to explain whether youthink the vaccine is effective.

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