Mann - Whitney U Test
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Nonparametric Hypothesis Testing
Conduct the equivalent, nonparametric test of hypothesis using the five-step process.
Perform the five-step hypothesis test on the data.
Null Hypothesis: The mean wage of single individuals is equal to the mean wage earned by married individuals.
Alternate Hypothesis: The mean wage of single individuals is significantly different from the mean wage earned by married individuals.
The first part of the paper the Z statistic was used, this is the second portion requiring equivalent nonparametric test.
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This solution is comprised of detailed explanation and step-by-step calculation of the given problem. Calculations have been shown both in text and EXCEL for better understanding. The solution provides students with a clear perspective of the underlying concepts of Nonparametric Hypothesis Testing.
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State the null and alternate hypothesis:
Null Hypothesis: The mean wage of single individuals is equal to the mean wage earned by married individuals.
H_0: μ_1=μ_2
Alternate Hypothesis: The mean wage of single individuals is significantly different from the mean wage earned by married individuals.
H_1: μ_1≠μ_2
Formulate an analysis plan:
We shall use Significance Level, α = 0.05 for the hypothesis test.
We use the non-parametric Mann - Whitney U Test to test the hypothesis.
The Mann-Whitney ...
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- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
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