Ear infections A new vaccine was recently tested to seeif 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 group received vaccinations; the other did not. During the fol-lowing year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinatedchildren in 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.
Ear infections A new vaccine was recently tested to seeif 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 group received vaccinations; the other did not. During the fol-lowing year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinatedchildren in 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Ear infections A new vaccine was recently tested to see
if it could prevent the painful and recurrent ear infections
that many infants suffer from. The Lancet, a medical
journal, reported a study in which babies about a year
old were randomly divided into two groups. One group
if it could prevent the painful and recurrent ear infections
that many infants suffer from. The Lancet, a medical
journal, reported a study in which babies about a year
old were randomly divided into two groups. One group
received vaccinations; the other did not. During the fol-
lowing year, only 333 of 2455 vaccinated children had
lowing year, only 333 of 2455 vaccinated children had
ear infections, compared to 499 of 2452 unvaccinated
children in the control group.a) Are the conditions for inference satisfied?
b) Find a 95% confidence interval for the difference in
rates of ear infection.
c) Use your confidence interval to explain whether you
think the vaccine is effective.
children in the control group.a) Are the conditions for inference satisfied?
b) Find a 95% confidence interval for the difference in
rates of ear infection.
c) Use your confidence interval to explain whether you
think the vaccine is effective.
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