Answered: The national distribution of fatal work…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 0.10

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	42

2894

Equipment	17

1158

Assaults	15

805

Falls	14

751

Harmful fumes	9

535

Fires	3

a. State

Upper H 0

and

Upper H Subscript a

and identify the claim.

What is the null hypothesis,

Upper H 0

The distribution of fatal work injuries in the west is

2894

transportation,

1158

equipment,

805

assaults,

751

falls,

535

harmful fumes, and

fires.

The distribution of fatal work injuries in the west differs from the expected distribution.

The distribution of fatal work injuries in the west is

transportation,

equipment,

15 %

assaults,

falls,

harmful fumes, and

fires.

What is the alternate hypothesis,

Upper H Subscript a

The distribution of fatal work injuries in the west is

transportation,

equipment,

15 %

assaults,

falls,

harmful fumes, and

fires.

The distribution of fatal work injuries in the west is the same as the expected distribution.

The distribution of fatal work injuries in the west differs from 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.

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

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

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

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

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.

▼

Reject

Fail to reject

Upper H 0

At the

significance level, there

▼

is not

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

▼

differs from

is the same as

the national distribution.

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