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
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Chi-Square Statistic 3.6845
Pvalue 0.054919