You are the healthcare administration leader for a health services organization

Question

You are the healthcare administration leader for a health services organization and are interested in achieving a standard, whereby 90% of all patients are screened within the initial 15 minutes of arriving for a family practice appointment. In a random sample of 30 patients, you find that 25 were screened within 15 minutes. The probability that this event (or one more extreme) would occur, might be modeled as a binomial with the following probability statement: P(X25 | N=30, p=0.9) To solve, you use =binom.dist(25, 30, 0.9, TRUE) in Excel and find that you would expect 25 or fewer screenings in 30 trials when the success rate should be 0.9 about 17.5% of the time.

Explanation / Answer

When you enter in Excel '=BINOM.DIST(25,30,0.9,TRUE)'

It gives answer is 0.1754

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