Factors to Consider in Determining Gender Bias in Firefighter Promotion

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15 Feb 2019
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1. What factors should the assistant chief consider in determining the presence of
gender bias in firefighter promotion?
Factors that should be considered in this case include percentage of male and female
applicants and the corresponding numbers, promoted in each segment. In the present case
scenario, among the males and female candidates, the total number of applicants
(firefighters) for promotion include 27 (54%) and 23 (46%), respectively. For the analysis,
it is important to estimate the percentage of males and females, those who are considered
for promotion. This appears to be 44% and 26% among male and female firefighters.
However, the percentage of promotion among each gender appears to be 81% and 56.5%
among male and female, respectively. It is important to note that, within any organisation,
the number of applicants from the gender segment is not controllable by any authority.
Since the percentage of applicant among male and female are not same, it cannot be
conclusively argued by assistant chief that gender bias persists in the promotion (Test,
2015).
2. Is the promotional status of recently promoted firefighters independent of
their gender?
For the present case, the hypothesis to be considered include:
Null hypothesis – Promotion and gender are independent variables.
Alternative hypothesis - Promotion and gender are dependent variables.
The hypothesis testing with reference to the chi-square test of independence gives
value of 3.6845. The degrees of freedom in this case of analysis is 1, because number of
rows and columns for the analysis of variable are 2 (in each case). The statistical analysis
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