SOLUTION: An analysis of the backgrounds of 404 men known to be active in terrorist organizations reported that 78 of these men had engineering degrees. In the population of men with the p

Question 1168147: An analysis of the backgrounds of 404 men known to be active in terrorist organizations reported that 78 of these men had engineering degrees. In the population of men with the potential to be active in terrorist organizations, the proportion with engineering degrees is 3.5%.
Does the data provide evidence that engineers are significantly over-represented in terrorist organizations? Use a 5% significance level.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
78/404=0.193
Ho: rate is <=0.035
Ha: rate is > 0.035
alpha =0.05 P{reject Ho|Ho true}
test is a z=(p hat-p)/sqrt(p**1-p/n)
=0.158/sqrt(0.035*0.965/404)
=0.158/0.009
z=17.2 highly significant and the data do provide such evidence.
P<<0.0001 (essentially 0)

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