You volunteer some of your spare time to your local fire department and have bee

Question

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. What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion? Is the promotional status of recently promoted firefighters independent of their gender? What reasons should the assistant chief convey to the fire chief to justify the absence of gender bias in the most recent class of firefighters who were promoted? How might the presence of gender bias in promotions impact the fire department?

Explanation / Answer

1) p value here gives the guidance for assistant chief to detect the bias

2) Since p = 0.054919 >0.05

at 5% significance level we can assume that there is no bias as per statistical evidence.

3) As per hypothesis test it is statistically evident that promotion is independent of sex

4) The presence of gender bias may demoralise that particular gender and enthusiasm and efficiency in discharging duties will be reduced. Also they may go to other organisations where there are more opportunities

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