In: Statistics and Probability
The information on an antibiotic and bacterial-culture usage in hospitals for patients who were discharged from two selected Pennsylvania hospitals were collected. Among the sampled 25 patients from Hospital 1, 7 patients received anti-biotics. And from Hospital 2, 6 patients from the sampled 30 patients received bacterial culture. Investigators are interested in assessing whether the proportions for patients receiving an antibiotic is greater than the proportion of receiving a bacterial culture while in the hospital at α=0.05.
What is the test statistic? Report your answer up to 3 decimal places.