Consider the following data for 1000 participants being tested for diabetes using a screening test (urine dip stick):

27 / 1000 have diabetes (according to the 'gold standard' glucose tolerance test).

Among those who have diabetes, 6/27 test positive with the screening test.

Among those without diabetes, 966/973 test negative for diabetes with the screening test.

Using a tree diagram is encouraged.

a) Find the sensitivity of the urine dip stick test

b) Find the specificity of the urine dip stick test

c) Find the positive predictive value

d) Find the false positive probability