The national distribution of fatal work injuries in a country is shown in the ta

Question

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 =0.025

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

Transportation

43%

2887

Equipment

19%

1159

Assaults

14%

807

Falls

13%

746

Harmful fumes

9%

530

Fires

2%

102

Transportation

43%

2887

Equipment

19%

1159

Assaults

14%

807

Falls

13%

746

Harmful fumes

9%

530

Fires

2%

102

Explanation / Answer

Answer:

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 =0.025

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

Transportation

43%

2887

Equipment

19%

1159

Assaults

14%

807

Falls

13%

746

Harmful fumes

9%

530

Fires

2%

102

HO: the distribution of fatal work injuries in the west is same from the national distribution

H1: the distribution of fatal work injuries in the west is different from the national distribution

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

2887

2679.330

207.670

16.096

1159

1183.890

-24.890

0.523

807

872.340

-65.340

4.894

746

810.030

-64.030

5.061

530

560.790

-30.790

1.691

102

124.620

-22.620

4.106

6231

6231.000

0.000

32.371

32.371

chi-square

5

df

0.0000

p-value

Calculated chi square 32.371 > critical chi square value at 0.025 level is 12.83.

Ho is rejected.

We conclude that the distribution of fatal work injuries in the west is different from the national distribution.

Transportation

43%

2887

Equipment

19%

1159

Assaults

14%

807

Falls

13%

746

Harmful fumes

9%

530

Fires

2%

102

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