Question 1172433: According to a recent poll for two countries Z and Y, the percentage of workers in country Z that are engaged with their workplace is more than twice as high as the percentage of workers in country Y that are engaged with their workplace. Use the results from the poll, which are summarized in the table, to answer (a) through (d) below
country Z country Y Total
Engaged 743 116 859
Not Engaged 1,297 1,924 3,221
Total 2,040 2,040 4,080
Given that a worker is from country Z, what is the probability that the worker is engaged?
Answer by math_tutor2020(3835)   (Show Source):
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| Country Z | Country Y | Total | | Engaged | 743 | 116 | 859 | | Not Engaged | 1297 | 1924 | 3221 | | Total | 2040 | 2040 | 4080 |
Focus on the "country Z" column only since we know 100% the person is from there. This is due to the specific phrasing of "Given that a worker is from country Z".
There are 743 engaged people from country Z, out of 2040 people total from country Z.
Dividing the values leads to
743/2040 = 0.3642
The value is approximate to four decimal places
Answer: Roughly 0.3642
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