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

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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

3589

vehicle crashes and organize the resulting data as shown in the contigency table. At

 

α=0.10​,

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

 

866

 

323

 

340

 

​ Multiple-vehicle

 

1145

 

487

 

428

 

 

 

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Part 1

 

​(a) Identify the claim and state the null and alternative hypotheses.

H0​: The type of crash and the type of vehicle are ▼

independent

dependent

Ha​: The type of crash and the type of vehicle are ▼

dependent

independent

The

alternative hypothesis

null hypothesis

is the claim.

H0: The type of crash and the type of vehicle are 

Ha: The type of crash and the type of vehicle are 

Determine the degrees of​ freedom.

find the critical​ value. and identify the rejection region.

 
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