Answered: Is the length of time of unemployment…

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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Question

Is the length of time of unemployment related to the type of industry? A random sample of unemployed workers from three different work sectors yielded the following data. Perform a hypothesis test at 0.10 level of significance to determine if there is a relationship.

	Less than 5 weeks	5-14 weeks	15-26 weeks
Transportation	89	115	77
Information	64	65	43
Financial	80	113	114

What are the expected numbers? (round to 3 decimal places)

	Less than 5 weeks	5-14 weeks	15-26 weeks
Transportation
Information
Financial

The hypotheses are

H0:H0: The length of unemployment is independent of the type of industry.

HA:HA: The length of unemployment is dependent of the type of industry. (claim)

Since αα = 0.10 the critical value is 7.779

The test value is: (round to 3 decimal places)

The p-value is (round to 3 decimal places)

So the decision is to

reject H0H0
do not reject H0H0

Thus the final conclusion is

There is not enough evidence to support the claim that the length of unemployment is dependent of the type of industry.
There is enough evidence to support the claim that the length of unemployment is dependent of the type of industry.
There is not enough evidence to reject the claim that the length of unemployment is dependent of the type of industry.
There is enough evidence to reject the claim that the length of unemployment is dependent of the type of industry.

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