A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance that the test will detect it. If a person does not have diabetic, there is a 5% chance that the test will say that he has diabetic. It is known that about 7% of the population has diabetic.

i. Sally came for the test, and she tested negative for diabetic. Do you think Sally should go for a second opinion? How will Sally be affected if only 3% of the population has diabetic? Explain the findings. [8 marks]

ii. If Sally was tested positive for the test, what is the probability that she has diabetic? Explain the findings. [4 marks]