Very large random samples of Catholics, Protestants, and people with no religious affiliation have been questioned about their opinions on capiital punishment. On a ten point scale, the Protestants average 6.9, the Catholics averaged 7.0, and the people with no religious affiliation 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 difference may be statistically significant but it seems unimportant c. This difference is due to random chance d. The researcher should have used sample means  rather than proportions in this situation

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
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Very large random samples of Catholics, Protestants, and people with no religious affiliation have been questioned about their opinions on capiital punishment. On a ten point scale, the Protestants average 6.9, the Catholics averaged 7.0, and the people with no religious affiliation 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 difference may be statistically significant but it seems unimportant

c. This difference is due to random chance

d. The researcher should have used sample means  rather than proportions in this situation 

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