You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved.
Posted: Wed May 11, 2022 3:39 pm
You work for an insurance company and are studying the
relationship between types of crashes and the vehicles involved. As
part of your study, you randomly select 3693 vehicle crashes and
organize the resulting data as shown in the contingency table. At
α=0.01, can you conclude that the type of crash depends on the
type of vehicle?
(a) Identify the claim and state the null and alternative
hypotheses.
H0:
The type of crash and the type of vehicle are
▼
dependent
independent
.
Ha:
The type of crash and the type of vehicle are
▼
dependent
independent
.The
▼
alternative hypothesis
null hypothesis
is the claim.
Part 2
(b) Determine the degrees of freedom, find the critical value,
and identify the rejection region.
Part 3
Calculate the degrees of freedom.
d.f.=enter your response here
Part 4
Find the critical value.
χ20=enter your response here
(Round to three decimal places as needed.)
Part 5
Which region below is the correct rejection region?
A.
χ2≤χ20
B.
χ2<χ20
C.
χ2≥χ20
D.
χ2>χ20
Part 6
(c) Calculate the test statistic. If convenient, use
technology.
χ2=enter your response here
(Round to three decimal places as needed.)
Part 7
(d) Decide to reject or fail to reject the null hypothesis.
Then interpret the decision in the context of the original
claim.
Part 8
What is the conclusion of the test?
▼
Fail to reject
Reject
H0.
There
▼
is
is not
enough evidence to support
Ha.
Part 9
How does this conclusion relate to the original claim?
A.This
does not support
the claim that types of crash and vehicle are related.
B.This
supports
the claim that types of crash and vehicle are related.
C.
This does not support the claim that types of crash and vehicle
are not related.
D.
This supports the claim that types of crash and vehicle are not
related.
relationship between types of crashes and the vehicles involved. As
part of your study, you randomly select 3693 vehicle crashes and
organize the resulting data as shown in the contingency table. At
α=0.01, can you conclude that the type of crash depends on the
type of vehicle?
(a) Identify the claim and state the null and alternative
hypotheses.
H0:
The type of crash and the type of vehicle are
▼
dependent
independent
.
Ha:
The type of crash and the type of vehicle are
▼
dependent
independent
.The
▼
alternative hypothesis
null hypothesis
is the claim.
Part 2
(b) Determine the degrees of freedom, find the critical value,
and identify the rejection region.
Part 3
Calculate the degrees of freedom.
d.f.=enter your response here
Part 4
Find the critical value.
χ20=enter your response here
(Round to three decimal places as needed.)
Part 5
Which region below is the correct rejection region?
A.
χ2≤χ20
B.
χ2<χ20
C.
χ2≥χ20
D.
χ2>χ20
Part 6
(c) Calculate the test statistic. If convenient, use
technology.
χ2=enter your response here
(Round to three decimal places as needed.)
Part 7
(d) Decide to reject or fail to reject the null hypothesis.
Then interpret the decision in the context of the original
claim.
Part 8
What is the conclusion of the test?
▼
Fail to reject
Reject
H0.
There
▼
is
is not
enough evidence to support
Ha.
Part 9
How does this conclusion relate to the original claim?
A.This
does not support
the claim that types of crash and vehicle are related.
B.This
supports
the claim that types of crash and vehicle are related.
C.
This does not support the claim that types of crash and vehicle
are not related.
D.
This supports the claim that types of crash and vehicle are not
related.