Statistical Analysis of Chi-Square Tests and Nonparametric Tests: A Comprehensive Study on Hypothesis Testing and Interpretation

Comprehensive study on hypothesis testing using chi-square and nonparametric methods.

Anna Wilson

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Statistical Analysis of Chi-Square Tests and Nonparametric Tests: AComprehensive Study on Hypothesis Testing and Interpretation1.Using StatCrunch, calculate the chi-square statistic and degrees of freedom for the followingset of data for 300 people:Group AGroup BGroup CTotalHad flu shot20303282Didn’t have flu shot807068218Total100100100300Is the value of the chi-square statistically significant at the 0.05 level?The output ofChi-Square test for independenceobtained through StatCrunch is shown below.Contingency table results:Rows:HadFlu shotColumns: GroupChi-Square test for independence:Cell formatCountExpected countContributions to Chi-SquareGroup AGroup BGroup CTotalHad Flu shotCountExpected countContributions to Chi-Square20(27.33)(1.967)30(27.33)(0.2602)32(27.33)(0.7967)82Didn't have FlushotCountExpected countContributions to Chi-Square80(72.67)(0.7401)70(72.67)(0.0979)68(72.67)(0.2997)218Total100100100300MeasureDFValueP-value

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