A certain story, describing several weeks of a long war, reports many details of injuries and their causes. The accompanying table summarizes those reports for the 149 injuries for which the story provides that information. Is there an association? Complete parts a through e below.
Click the icon to view the table.
A. $H_0$: Site of injury and weapon are not homogeneous.
$H_A$: Site of injury and weapon are homogeneous.
B. $H_0$: Site of injury and weapon are homogeneous.
$H_A$: Site of injury and weapon are not homogeneous.
C. $H_0$: Site of injury and weapon are not independent.
$H_A$: Site of injury and weapon are independent.
D. $H_0$: Site of injury and weapon are independent.
$H_A$: Site of injury and weapon are not independent.
Find the expected values under the null hypothesis.
Body Head/Neck Limb
Arrow 5.64 3.62 2.74
Weapon Ground/Rock 6.11 3.93 2.97
Sword 58.26 37.45 28.3
(Round to two decimal places as needed.)
b) Compute the $\chi^2$ statistic.
$\chi^2$=
(Round to two decimal places as needed.)
Table of Injuries
Body Head/Neck Limb Total
Arrow 5 1 6 12
Weapon Ground/Rock 3 4 6 13
Sword 62 40 22 124
Total 70 45 34 149
Done