Is there a difference between younger and older citizens in terms of interest in politics and current affairs? A brief quiz on recent headline stories was administered to four random samples of 12 respondents (N = 48) from each of the following age groups: High School (15-18 years of age), Young Adult (21-30), Middle-Aged (30-55), and Retired (65+). And the mean correct responses for each of these groups were as follows: the first group reported a mean of 3.7 correct answers, for the second group the mean was 4.4, for the third group it was 5.6, and for the fourth group it was 7.9 correct answers. Using the data from samples, it was determined that mean square between groups is equal to 41.4 and mean square within groups is 6.9. Is there a significant difference? Please use the five steps of hypothesis testing to conduct an analysis of variance test at the 0.05 significance level and summarize your conclusions in a sentence or two.

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

 Is there a difference between younger and older citizens in terms of interest in politics and current affairs? A brief quiz on recent headline stories was administered to four random samples of 12 respondents (N = 48) from each of the following age groups: High School (15-18 years of age), Young Adult (21-30), Middle-Aged (30-55), and Retired (65+). And the mean correct responses for each of these groups were as follows: the first group reported a mean of 3.7 correct answers, for the second group the mean was 4.4, for the third group it was 5.6, and for the fourth group it was 7.9 correct answers. Using the data from samples, it was determined that mean square between groups is equal to 41.4 and mean square within groups is 6.9. Is there a significant difference? Please use the five steps of hypothesis testing to conduct an analysis of variance test at the 0.05 significance level and summarize your conclusions in a sentence or two.

Expert Solution
steps

Step by step

Solved in 6 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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