In a certain hospital there are 360 patients, 40 of whom have clinically proven cirrhosis of the liver. An expert in abdominal palpation determines that 32 out of 360 patients have palpable spleens, of whom 16 have cirrhosis. In this hospital:

a. What is the sensitivity, and the specificity of palpable splenomegaly for cirrhosis?

b. What is the predictive value for cirrhosis in a patient with palpable splenomegaly?

c. What is the probability that a different problem exists in those with palpable spleens?

d. Is the presence of a palpable spleen a good clue for cirrhosis/

e. What is the probability that a patient whose spleen is not palpable does not have cirrhosis?

f. What percentage of patients, with cirrhosis, have palpable spleens? What percentage do not have palpable spleens?