Question 224444: The wiscons police department had a total of 1200 officers eligible for promotion this year, 960 were male, the remainder were female. A total of 325 were actually promoted. Of those that were promoted, 204 were women. Construct a joint probability table, and answer using it and probibility notation, describe and answer the following
Given that an officer got promoted, what is the probability that the officer was a woman?
What was the probability of any eligible offer getting promoted this year?
Did male officers have a promotion advantage over female officers?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The wiscons police department had a total of 1200 officers eligible for promotion this year, 960 were male, the remainder were female. A total of 325 were actually promoted. Of those that were promoted, 204 were women.
Construct a joint probability table, and answer using it and probability notation, describe and answer the following:
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............eligible......promoted
Male..........960...........121.....1081
Female........240...........204......444
.............1200...........325.....1525
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Given that an officer got promoted, what is the probability that the officer was a woman? 204/325
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What was the probability of any eligible officer getting promoted this year?
Ans: 325/1200
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Did male officers have a promotion advantage over female officers?
Ho: row and column categories are independent
Ha: they are not independent
I ran a Chi-Sq test and got the following:
test statistic: Chi-Sq = 226.67
p-value: 3.1783x10^(-51)
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Since the p-value is < 1% reject Ho at the 1% significance level.
Male and Female eligibles were not promoted proportionately.
Cheers,
Stan H.
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