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 143 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) Under the null hypothesis, what are the expected values?
Table of Injuries
What are the null and alternative hypotheses?
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 independent. H_(A) : Site of injury and weapon are not independent.
C. H_(0) : Site of injury and weapon are homogeneous. H_(A) : Site of injury and weapon are not homogeneous.
D. H_(0) : Site of injury and weapon are not independent. H_(A) : Site of injury and weapon are independent.
able[[,,,Injury Site,,],[Weapon,,Body,Head/Neck,Limb,Total],[Arrow,1,7,3,11],[Ground/Rock,2,4,6,12],[Sword,57,36,27,120],[Total,60,47,36,143]]
Find the expected values under the null hypothesis.
able[[Weapon,Arrow,Body, able[[Injury Site],[Head/Neck]],Limb],[,,],[Ground/Rock,,,],[Limb,,,]]
b) Compute the chi ^(2) statistic.
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 143 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) Under the null hypothesis, what are the expected values?
Table of Injuries
What are the null and alternative hypotheses?
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 independent. H_(A) : Site of injury and weapon are not independent.
C. H_(0) : Site of injury and weapon are homogeneous. H_(A) : Site of injury and weapon are not homogeneous.
D. H_(0) : Site of injury and weapon are not independent. H_(A) : Site of injury and weapon are independent.
able[[,,,Injury Site,,],[Weapon,,Body,Head/Neck,Limb,Total],[Arrow,1,7,3,11],[Ground/Rock,2,4,6,12],[Sword,57,36,27,120],[Total,60,47,36,143]]
Find the expected values under the null hypothesis.
able[[Weapon,Arrow,Body, able[[Injury Site],[Head/Neck]],Limb],[,,],[Ground/Rock,,,],[Limb,,,]]
b) Compute the chi ^(2) statistic.