Question

Infection rates at a hospital above 1 infection per 100 person days at risk are believed to be too high and are used as a benchmark. A hospital that had previously been above the benchmark recently had 10 infections over the last 1,787 person days at risk. What is the (one sided) P-value for the relevant test of whether the hospital is *below* the standard? Express your answer as either a proportion to two decimal places or a percentage to the nearest percentage point.

Answer 1

take the established benchmark for the standard and see how far the current situation is from it ....

Answer 2

or at least thats my idea ....

Answer 3

if the current status is: P

and the standard is p

then assuming some things about a normal distribution and such we can calculate how far off the current is from the standard:\[z=\frac{P-p}{\sqrt{pq/n}}\]