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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill