# 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.

https://brainmass.com/statistics/probability/difference-between-quality-care-provided-10876

#### 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.