Question

The normal rate of catheter infection in your hospital is 2%. Your job is to monitor infection rates, and you observe 6 infections in the last 200 patients (3%). Is there reason to believe the infection rate has increased beyond what would be expected by random error? Use the Binomial distribution to justify your answer.

Answer 1

H0: the infection rate has not increased beyond what would be expected by random error

H1: the infection rate has increased beyond what would be expected by random error

Let the los be alpha = 5%

Z critical value = +/- 1.96 at 5% los

Here Z value is less than Z critical value so we do not reject H0

Thus we conclude that  the infection rate has not increased beyond what would be expected by random error