A certain​ story, describing several weeks of a long​ war, includes many details of injuries and outcomes. The accompanying table summarizes 148 recorded injuries for which both injury site and outcome are provided in the story. Are some kinds of injuries more lethal than​ others? Complete parts a through e below. a) Under the null​ hypothesis, what are the expected​ values?   What are the null and alternative​ hypotheses?     A. H0​: Site of injury and whether or not it was lethal are homogeneous. HA​: Site of injury and whether or not it was lethal are not homogeneous.   B. H0​: Site of injury and whether or not it was lethal are not homogeneous. HA​: Site of injury and whether or not it was lethal are homogeneous.   C. H0​: Site of injury and whether or not it was lethal are not independent. HA​: Site of injury and whether or not it was lethal are independent.   D. H0​: Site of injury and whether or not it was lethal are independent. HA​: Site of injury and whether or not it was lethal are not independent. Part 2 Find the expected values under the null hypothesis.       ​Lethal?     Fatal Not fatal   Body enter your response here enter your response here Injury Site ​Head/neck enter your response here enter your response here   Limb enter your response here enter your response here ​(Round to two decimal places as​ needed.) Part 3 ​b) Compute the χ2 statistic.   χ2=enter your response here ​(Round to two decimal places as​ needed.) Part 4 ​c) How many degrees of freedom does the χ2 statistic​ have? enter your response here ​(Type a whole​ number.) Part 5 ​d) Find the​ P-value.   ​P-value=enter your response here ​(Round to three decimal places as​ needed.) Part 6 ​e) What should be​ concluded?   ▼   (Reject, Fail to reject) the null hypothesis for α=0.05 and ▼   (conclude, do not conclude) that site of injury and whether or not it was lethal are ▼   (independent. not homogeneous. not independent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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A certain​ story, describing several weeks of a long​ war, includes many details of injuries and outcomes. The accompanying table summarizes 148 recorded injuries for which both injury site and outcome are provided in the story. Are some kinds of injuries more lethal than​ others? Complete parts a through e below.

a) Under the null​ hypothesis, what are the expected​ values?
 
What are the null and alternative​ hypotheses?
 
 
A. H0​: Site of injury and whether or not it was lethal are homogeneous. HA​: Site of injury and whether or not it was lethal are not homogeneous.
 
B. H0​: Site of injury and whether or not it was lethal are not homogeneous. HA​: Site of injury and whether or not it was lethal are homogeneous.
 
C. H0​: Site of injury and whether or not it was lethal are not independent. HA​: Site of injury and whether or not it was lethal are independent.
 
D. H0​: Site of injury and whether or not it was lethal are independent. HA​: Site of injury and whether or not it was lethal are not independent.
Part 2
Find the expected values under the null hypothesis.
 
 
 
​Lethal?
 
 
Fatal
Not fatal
 
Body
enter your response here
enter your response here
Injury Site
​Head/neck
enter your response here
enter your response here
 
Limb
enter your response here
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
​b) Compute the χ2 statistic.
 
χ2=enter your response here
​(Round to two decimal places as​ needed.)
Part 4
​c) How many degrees of freedom does the χ2 statistic​ have? enter your response here ​(Type a whole​ number.)
Part 5
​d) Find the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 6
​e) What should be​ concluded?
 
 
(Reject,
Fail to reject)
the null hypothesis for
α=0.05
and
 
(conclude,
do not conclude)
that site of injury and whether or not it was lethal are
 
(independent.
not homogeneous.
not independent.
homogeneous.)
Table of Injuries
Lethal?
Fatal
Not fatal Total
Body
59
9.
68
Injury Site Head/neck
46
48
Limb
13
19
32
Total
118
30
148
Transcribed Image Text:Table of Injuries Lethal? Fatal Not fatal Total Body 59 9. 68 Injury Site Head/neck 46 48 Limb 13 19 32 Total 118 30 148
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