Scenario Analysis: Promotion You volunteer some of your spare time to your local

Question

Scenario Analysis: Promotion

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

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

a concern in the promotion of firefighters

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

no, because they are related as you can see in the table of 2x2

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 value of p value and X^2 , if we compare that value with alpha (wwe need alpha in this case to do inference) we will see that p value is very small to conclude that they are not indepndent

How might the presence of gender bias in promotions impact the fire department?

the precesence of gender bias in promortions impact the fire department is very high

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