A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 323 of 2451 vaccinated children had ear infections, compared to 510 of 2455 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? A. No. More than 10% of the population was sampled. B. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. Your answer is correct. C. No. It was not a random sample. D. No. The groups were not independent. b) Let p1 be the sample proportion of success in the unvaccinated group, and let p2 be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, p1−p2. The confidence interval is %,%. (Do not round until the final answer. Then round to one decimal place as needed.)
A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 323 of 2451 vaccinated children had ear infections, compared to 510 of 2455 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? A. No. More than 10% of the population was sampled. B. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. Your answer is correct. C. No. It was not a random sample. D. No. The groups were not independent. b) Let p1 be the sample proportion of success in the unvaccinated group, and let p2 be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, p1−p2. The confidence interval is %,%. (Do not round until the final answer. Then round to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only
323
of
2451
vaccinated children had ear infections, compared to
510
of
2455
unvaccinated children. Complete parts a) through c) below.a) Are the conditions for inference satisfied?
No. More than 10% of the population was sampled.
Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group.
No. It was not a random sample.
No. The groups were not independent.
b) Let
p1
be the sample proportion of success in the unvaccinated group, and let
p2
be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection,
p1−p2.
The confidence interval is
%,%.
(Do not round until the final answer. Then round to one decimal place as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman