gender | accident | gender | accident |
male | yes | female | no |
male | no | female | no |
male | no | female | no |
male | yes | female | no |
male | no | female | no |
male | no | female | yes |
male | yes | female | no |
male | no | female | yes |
male | yes | female | yes |
male | no | female | no |
male | no | female | no |
male | yes | female | yes |
male | no | female | no |
male | yes | female | no |
male | no | female | yes |
female | no | ||
female | no | ||
female | no | ||
female | no | ||
female | no | ||
female | no | ||
µ1= Proportion of males in an accident
µ2= Proportion of females in an accident
Ho=
µ1=µ2Ha= µ1>µ2
α=.05
Success = yes
Variable X N Sample p
accident 6 15 0.400000
accident2 5 21 0.238095
Estimate for p(accident) - p(accident2): 0.161905
95% lower bound for p(accident) - p(accident2): -0.0962816
Test for p(accident) - p(accident2) = 0 (vs > 0): Z = 1.03 P-Value = 0.151
We fail to reject Ho on the .05 level of significance because our p-value is .151. Therefore we do not have sufficient evidence to conclude that the proportion of males in accidents is greater then females.