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# Probability Problem

Saint Paul's Hospital commissioned an independent study to determine if there was a difference between the quality of care provided by hospital-trained nurses and tertiary-trained nurses. Two hundred nurses were rated as either providing Superior Service (S) or Adequate Service (A). The results are as follows: (See attached file).

Are the events H and S independent? Justify your answer mathematically.

#### Solution Preview

Please see response below, which is also attached. I hope this is helpful.

RESPONSE:

Saint Paul's Hospital commissioned an independent study to determine if there was a difference between the quality of care
provided by hospital-trained nurses and tertiary-trained nurses. Two hundred nurses were rated as either providing Superior Service (S) or Adequate Service (A). The results are as follows:

Superior (S) Adequate (A)
Hospital-trained (H) 48 ...

#### Solution Summary

This solution provides a step-by-step calculation of a probability problem to determine whether or not two events are independent. The answer is justified mathematically.

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