Question

The fatality rate of typhoid patients, is believed to be 17.26%. In a certain year, 640 patients suffering from typhoid, were treated in a metropolitan hospital and only 63 patients died. Can you consider that the hospital is efficient at 1% LOS?

Answer 1

Answer:

Hospital is efficient

Step-by-step explanation:

The sample size (n)=640

p=63/640=0.0984 (proportion of success in the sample)

P=0.1726 (proportion of success in the population)

Null hypothesis H0: The hospital is not efficient (p=P)

Alternative Hypothesis H1: The hospital is efficient (p<P) one-tailed

Test Statistic Formula

 $Z=\frac{p-P}{\sqrt{\frac{PQ}{n} } } = \frac{0.0984-0.1726}{\sqrt{\frac{0.1726*(1-0.1726)}{640} } } = 4.967$

 Zcal=4.967

$\alpha =0.01$

Therefore from the table, Ztab=2.33

Zcal>Ztab

Therefore Reject H0, Accept H1. Hospital is efficient