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 0.05 level of significance to determine if there is a relationship. Less than 5 weeks 5-14 weeks 15-20 weeks Transportation 83 107 Information 61 55 41 Financial 89 114 11 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-20 weeks Transportation Information Financial The hypotheses are The length of unemployment is independent of the type of industry. H: The length of unemployment is dependent of the type of industry. (claim) Since a = 0.05 the critical value is 9.488 (round to 3 decimal places) The pvalue is (round to 3 decimal places) So the decision is to do not reject H, reject H, Thus the final conclusion is 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 support the claim that the length of unemployment is dependent of the type of industry. There is not enough evidence to support the claim

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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 0.05 level
of significance to determine if there is a relationship.
Less than 5 weeks
5-14 weeks
15-20 weeks
Transportation
83
107
Information
61
55
41
Financial
89
114
11
What are the expected numbers? (round to 3 decimal
places)
Less than 5 weeks
5-14 weeks
15-20 weeks
Transportation
Information
Financial
The hypotheses are
The length of unemployment is independent of the
type of industry.
H: The length of unemployment is dependent of the
type of industry. (claim)
Since a = 0.05 the critical value is 9.488
(round to 3 decimal places)
The pvalue is
(round to 3 decimal places)
So the decision is to
do not reject H,
reject H,
Thus the final conclusion is
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 support the claim that
the length of unemployment is dependent of the type
of industry.
There is not enough evidence to support the claim
Transcribed Image Text: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 0.05 level of significance to determine if there is a relationship. Less than 5 weeks 5-14 weeks 15-20 weeks Transportation 83 107 Information 61 55 41 Financial 89 114 11 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-20 weeks Transportation Information Financial The hypotheses are The length of unemployment is independent of the type of industry. H: The length of unemployment is dependent of the type of industry. (claim) Since a = 0.05 the critical value is 9.488 (round to 3 decimal places) The pvalue is (round to 3 decimal places) So the decision is to do not reject H, reject H, Thus the final conclusion is 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 support the claim that the length of unemployment is dependent of the type of industry. There is not enough evidence to support the claim
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