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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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
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 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman