SOLUTION: : One study on managers’ satisfaction with management tools reveals that 59% of all managers use self-directed work teams as a management tool. Suppose 70 managers selected randoml

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Question 970834: : One study on managers’ satisfaction with management tools reveals that 59% of all managers use self-directed work teams as a management tool. Suppose 70 managers selected randomly in the United States are interviewed. What is the probability that fewer than 35 use self-directed work teams as a management tool?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
One sample proportion.
Fewer than 35 is fewer than 0.50
z= 0.50-0.59/sqrt [(.59)(.41)/70] ;; It is p of sample - p comparing with in numerator.
In denominator, it is sqrt p(1-p)/n, where the p's are the second, not the sample, and n=sample size.
z= -0.09/0.0588
z < -1.531
p=0.06 (0.0629)

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