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.

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 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.

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