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 85 100 83 Information 53 05 45 Financial 90 113 118 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-26 weeks Transportation 2417 102 00 Information 49.029 01.071 Financial 90.554 120 269 104.177 The hypotheses are The length of unemployment is independent of the type of industry. The length of unemployment is dependent of the type of industry. (claim) Since. = 0.05 the critical value is 9.488 %3D The test value is X round to 3 decimal places) 4.915 The pvalue is 0.290 X (round to 3 decimal places)

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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
85
100
83
Information
53
05
45
Financial
90
113
118
What are the expected numbers? (round to 3 decimal
places)
Less than 5 weeks
5-14 weeks
15-26 weeks
Transportation
2417
102 00
Information
49.029
01.071
Financial
90.554
120 269
104.177
The hypotheses are
The length of unemployment is independent of the
type of industry.
The length of unemployment is dependent of the type
of industry. (claim)
Since. = 0.05 the critical value is 9.488
%3D
The test value is
X round to 3 decimal places)
4.915
The pvalue is 0.290
X (round to 3 decimal places)
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 85 100 83 Information 53 05 45 Financial 90 113 118 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-26 weeks Transportation 2417 102 00 Information 49.029 01.071 Financial 90.554 120 269 104.177 The hypotheses are The length of unemployment is independent of the type of industry. The length of unemployment is dependent of the type of industry. (claim) Since. = 0.05 the critical value is 9.488 %3D The test value is X round to 3 decimal places) 4.915 The pvalue is 0.290 X (round to 3 decimal places)
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