Copyright Malvin Porter, Jr. 2010 - acumen - The University of ...

hypothesized difference in proportions of 0.5 lies within the 95% confidence interval (0.434149,
0.666887), therefore I conclude that 0.5 is a plausible value for the true difference in proportions
for children’s Prosocial Action Choice responses. I also conclude that the proportions of
children’s Prosocial Action Choice responses and children’s Aggressive Action Choice
responses are not significantly different. Therefore, I fail to reject the null hypothesis and I
conclude that children who chose an Aggressive/Retribution Justification were just as likely to
choose Prosocial Action Choices as they were to choose Aggressive Action Choices. See Table
13.
Table 13
CBVS Test and Confidence Interval for One Proportion for Aggressive/Retribution Justification
Choices
Test of p = 0.5 vs. p not = 0.5
Sample ƒ n Sample p 95% CI Exact P-Value
1 42 76 0.552632 (0.434149, 0.666887) 0.422
N = 632 responses
A test for the Difference in Proportions tested the following null hypothesis: Of the
children who make Justice/Fair Justification Choices, there is no difference in proportions of
those who make Prosocial Action Choices and those who make Aggressive Action Choices.
Of the 369 responses to Justice/Fair Justification Choices, 281 were Prosocial Action
Choices (sample p =0.761518, p = 0.000 when test of p =0.05 vs. p ≠ 0.5). The hypothesized
difference in proportions of 0.5 does not lie within the 95% confidence interval (0.714679,
0.804104); therefore I conclude that 0.5 is not a plausible value for the true difference in
proportions of children’s Prosocial Action Choice responses and I conclude that the proportions
92