Answer
Step 1:
$H_0$ : The proportions of the year of birth of the annual deaths from firearms are as follow: 10% from birth through 19 years of age. 50% from victims aged 20 to 44 years, 40% from victims age 45 years and over.
$H_1$: The distribution is not the same as stated in the null hypothesis.
Step 2:
Since α=0.05, and the degrees of freedom are 3-1=2 , the critical value is 5.991.
Step 3:
Expected Value:
0.10 * 100 = 10
0.50 * 100 = 50
0.40 * 100 =40
Test Value :
χ2 = Σ $\frac{(O-E)^{2}}{E}$ =$\frac{(13-10)^{2}}{10}$ + $\frac{(62-50)^{2}}{50}$ + $\frac{(25-40)^{2}}{40}$
=0.9+2.88+5.625
=9.405
Step 4:
Since9.405 > 5.991, the decision is to reject the null hypothesis.
Step 5:
There is enough evidence to reject the claim and hence we conclude that the proportions are differ from those cited by National Safety Council.
