SOLUTION: 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 o

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): You can put this solution on YOUR website!

	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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SOLUTION: 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 o

SOLUTION: 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 o