SOLUTION: A company manager wishes to test a union leader’s claim that absences on different week days with the same frequency. To test her claim at the 0.05 significance level she collected

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Question 422784: A company manager wishes to test a union leader’s claim that absences on different week days with the same frequency. To test her claim at the 0.05 significance level she collected the following sample data.
Day Monday Tuesday Wednesday Thursday Friday
Absences 37 15 12 23 43
Does the data support her claim?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A company manager wishes to test a union leader’s claim that absences on different week days with the same frequency. To test her claim at the 0.05 significance level she collected the following sample data.
Day Monday Tuesday Wednesday Thursday Friday
Absences 37 15 12 23 43
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Does the data support her claim?
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Expected value for each day is (1/5)(130) = 26
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Ho: The proportions are all equal
Ha: The proportions are not all equal
I ran a Chi-Sq Goodness of Fit program on the data
and got the following:
test stat: Chi-Sq = 102.32..
p-value = 3.1526..x10^-21
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Conclusion:Since the p-value is less than 5%, reject Ho.
The proportions are not all equal.
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Cheers,
Stan H.