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.
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
Related questions
Question
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?
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)
α=0.05
and
▼
(conclude,
do not conclude)
▼
(independent.
not homogeneous.
not independent.
homogeneous.)
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