8-2 Scenario Analysis Promotion - Copy

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8-2 Scenario Analysis: Promotion QSO-510-X5374 Quantitative Analysis Laura Turgeon

Scenario The assistant chief needs the data analysis performed on the firefighters who applied for a promotion. He wants to be sure that there is no gender bias concern. The chart below shows data for the 50 firefighters who applied for a promotion and the chi-square analysis of the data. 1. What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion? In his review, the assistant chief should also consider the ratio of men to women, as that can also be an issue. Additionally, evaluate those who were given promotions, and see who really deserved it. This can be done by looking at previous yearly evaluations and will illustrate if there were any promotions that should not have been. He should also consider the amount of each gender that applied in comparison to the total. Adding these few additional details to the statistics, he will have a clear picture of whether there is a gender bias problem. 2. Is the promotional status of recently promoted firefighters independent of their gender? H 0: Gender and promotion status are independent. H A : Promotion status and gender are not independent.

In the table above, the p-value is 0.054919 which can be converted to an alpha of 0.05 or 0.01. Because of this, we fail to reject the null hypothesis. The data positively shows evidence that gender and promotion status are independent of each other. With that information, we can assure the assistant firefighter chief that there is no gender bias happening in promotions. 3. 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? The assistant chief can provide the chi-squared test results which show no evidence of gender bias, along with the numerical facts like the ratios of men and women promoted out of all applicants. If there was in fact gender bias happening, there would be a higher percentage of the female applicants promoted over men. He can also provide the evaluation information which would help show that those who applied really deserved it. 4. How might the presence of gender bias in promotions impact the fire department? If there was gender bias within the fire department, there could potentially be fatal effects. If those who truly didn’t deserve it were promoted to higher ranks, they may put themselves or others in danger just out of pure ignorance. If they aren’t ready to promote and do, there is potential for injuries and even death. Additionally, the fire department would only be setting themselves up for lawsuits since it is illegal to discriminate against anyone based on gender.

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