The national distribution of fatal work injuries in a country is shown in the table to the right under National ​%. You believe that the distribution of fatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At alpha equals 0.05   can you conclude that the distribution of fatal work injuries in the west is different from the national​ distribution? Complete parts a through d below. Cause National​ % Western Frequency   Transportation 43 ​% 2894 Equipment 18 ​% 1158 Assaults 15 ​% 801 Falls 14 ​% 754 Harmful fumes 7 ​% 532 Fires 3 ​% 92 a. State Upper H 0   and Upper H Subscript a   and identify the claim. What is the null​ hypothesis, Upper H 0 ​?     A. The distribution of fatal work injuries in the west differs from the expected distribution.   B. The distribution of fatal work injuries in the west is 2894   ​transportation, 1158   ​equipment, 801   ​assaults, 754   ​falls, 532   harmful​ fumes, and 92   fires.   C. The distribution of fatal work injuries in the west is 43 ​% ​transportation, 18 ​% ​equipment, 15 %   ​assaults, 14 ​% ​falls, 7 ​% harmful​ fumes, and 3 ​% fires. What is the alternate​ hypothesis, Upper H Subscript a ​?     A. The distribution of fatal work injuries in the west is 43 ​% ​transportation, 18 ​% ​equipment, 15 %   ​assaults, 14 ​% ​falls, 7 ​% harmful​ fumes, and 3 ​% fires.   B. The distribution of fatal work injuries in the west differs from the expected distribution.   C. The distribution of fatal work injuries in the west is the same as the expected distribution. Which hypothesis is the​ claim?     Upper H 0       Upper H Subscript a   b. Determine the critical​ value, font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2 ​, and the rejection region.   font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2 equalsnothing   ​(Round to three decimal places as​ needed.)   Determine the rejection region.     A. font size increased by 1 font size increased by 1 font size increased by 1 chi squared greater than or equals font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2     B. font size increased by 1 font size increased by 1 font size increased by 1 chi squared less than or equals font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2     C. font size increased by 1 font size increased by 1 font size increased by 1 chi squared greater than font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2     D. font size increased by 1 font size increased by 1 font size increased by 1 chi squared less than font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2   c. Calculate the test statistic.   font size increased by 1 font size increased by 1 font size increased by 1 chi squared equalsnothing   ​(Round to three decimal places as​ needed.)   ​(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.   ▼   Fail to reject Reject Upper H 0 . At the 5 ​% significance​ level, there ▼   is not is enough evidence to conclude that the western distribution of fatal work injuries ▼   is the same as differs from the national distribution.

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The national distribution of fatal work injuries in a country is shown in the table to the right under National

​%.

You believe that the distribution of fatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At

alpha equals 0.05
 
can you conclude that the distribution of fatal work injuries in the west is different from the national​ distribution? Complete parts a through d below.
Cause
National​ %
Western Frequency
 
Transportation
43
​%
2894
Equipment
18
​%
1158
Assaults
15
​%
801
Falls
14
​%
754
Harmful fumes
7
​%
532
Fires
3
​%
92
a. State
Upper H 0
 

and

Upper H Subscript a
 
and identify the claim.
What is the null​ hypothesis,
Upper H 0
​?
 
 
A.
The distribution of fatal work injuries in the west differs from the expected distribution.
 
B.
The distribution of fatal work injuries in the west is
2894
 

​transportation,

1158
 

​equipment,

801
 

​assaults,

754
 

​falls,

532
 

harmful​ fumes, and

92
 
fires.
 
C.
The distribution of fatal work injuries in the west is
43
​%

​transportation,

18
​%

​equipment,

15 %
 

​assaults,

14
​%

​falls,

7
​%

harmful​ fumes, and

3
​%
fires.
What is the alternate​ hypothesis,
Upper H Subscript a
​?
 
 
A.
The distribution of fatal work injuries in the west is
43
​%

​transportation,

18
​%

​equipment,

15 %
 

​assaults,

14
​%

​falls,

7
​%

harmful​ fumes, and

3
​%
fires.
 
B.
The distribution of fatal work injuries in the west differs from the expected distribution.
 
C.
The distribution of fatal work injuries in the west is the same as the expected distribution.
Which hypothesis is the​ claim?
 
 
Upper H 0
 
 
 
Upper H Subscript a
 
b. Determine the critical​ value,
font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2
​,
and the rejection region.
 
font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2

equalsnothing

 
​(Round to three decimal places as​ needed.)
 
Determine the rejection region.
 
 
A.
font size increased by 1 font size increased by 1 font size increased by 1 chi squared greater than or equals font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2
 
 
B.
font size increased by 1 font size increased by 1 font size increased by 1 chi squared less than or equals font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2
 
 
C.
font size increased by 1 font size increased by 1 font size increased by 1 chi squared greater than font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2
 
 
D.
font size increased by 1 font size increased by 1 font size increased by 1 chi squared less than font size increased by 1 font size increased by 1 font size increased by 1 chi Subscript 0 Superscript 2
 
c. Calculate the test statistic.
 
font size increased by 1 font size increased by 1 font size increased by 1 chi squared

equalsnothing

 
​(Round to three decimal places as​ needed.)
 
​(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
 
 
Fail to reject
Reject
Upper H 0
.

At the

5
​%

significance​ level, there

 
is not
is

enough evidence to conclude that the western distribution of fatal work injuries

 
is the same as
differs from

the national distribution.

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