Answer:
With regard to intelligence scores, at 95% confidence level, there is significant evidence to conclude that violent offenders are less intelligent than property offenders
Step-by-step explanation:
H_a: Violent offenders are less intelligent than property offenders
H_o: Violent offenders and property offenders do not differ significantly with regard to intelligence scores
Test statistic can be found using the formula
z=[tex]\frac{X-Y}{\sqrt{\frac{s(x)^2}{N(x)}+\frac{s(y)^2}{N(y)}}}[/tex] where
then z=[tex]\frac{96-88}{\sqrt{\frac{8.5^2}{225}+\frac{7.5^2}{200}}}[/tex] ≈10.3
One tail p-value of the test statistic is < 0.00001
Since p-value<0.05 (significance level) we reject the null hypothesis.
