You volunteer some of your spare time to your local fire department and have been asked by an assistant chief to analyze data on firefighters who applied for promotion. The assistant chief wants to...


You volunteer some of your spare time to your local fire department and have been asked by an assistant chief to analyze data on firefighters who applied for promotion. The assistant chief wants to ensure that gender bias is not a concern in the promotion of firefighters. Shown below is data for 50 firefighters who applied for promotion and the results of a chi-square analysis of the data.





















Male



Female



Promoted



13



22



Not Promoted



10



5




















Chi-Square Statistic



3.6845




Pvalue



0.054919










  1. What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?

  2. Is the promotional status of recently promoted firefighters independent of their gender?



Jun 09, 2022
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