Very large random samples of Catholics,Protestants,and people with no religious affiliation have been questioned about their opinions on capital punishment.On a ten point scale,the Protestants average 6.8,the Catholics averaged 7.0,and the "Nones" averaged 7.1.These differences were tested by ANOVA and found to be statistically significant.What is the most reasonable conclusion?
A)This is a statistically significant and important difference.
B)This differences may be statistically significant but they seem unimportant.
C)This difference is due to random chance.
D)The researcher should have used sample means rather than proportions in this situation

Question

Quizplus · Accepted Answer

The differences are statistically significant, meaning they are unlikely to be due to random chance, but the actual differences in averages (6.8, 7.0, 7.1) are very small, suggesting they may not be practically important.

Very Large Random Samples of Catholics,Protestants,and People with No Religious