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.

Question

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.

Accepted Answer

[O]              Car          pickup            sport utility          TotalSingle          876…

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