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
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
3632
vehicle crashes and organize the resulting data as shown in the contigency table. At
|
α=0.01, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). |
Vehicle |
|
|
|
Type of crash |
Car |
Pickup |
Sport utility |
|
Single-vehicle |
876 |
393 |
342 |
|
Multiple-vehicle |
1143 |
475 |
403 |
Question content area bottom
Part 1
(a) Identify the claim and state the null and alternative hypotheses.
H0:
The type of crash and the type of vehicle are
.
Ha:
The type of crash and the type of vehicle are
.
(a) Identify the claim and state the null and alternative hypotheses.
H0:
The type of crash and the type of vehicle are
Ha:
The type of crash and the type of vehicle are
.
The
alternative 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.=
Part 4
Find the critical value.
χ20=
(Round to three decimal places as needed.)
Part 5
Which region below is the correct rejection region?
.
D.chi squared greater than or equals chi Subscript 0 Superscript 2
χ2≥χ20
Your answer is not correct.
Part 6
(c) Calculate the test statistic. If convenient, use technology.
χ2=
(Round to two 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?
H0.
There
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.
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