2. Insert a conditional probability table here, then answer the questions in each part
below.
Has
Diabetes
No Diabetes
Positive Test Result Negative Test Result
Total
8820
10920
180
80,080
9000
91,000
a. Answer part (a) here.
i. 8820 will have gestational diabetes.
b. Answer part (b) here.
i. What is the probability of having the disease given that you test positive?
ii. $\frac{8820}{(8820+10920)}=0.44680$
c. Answer part (c) here.
i. 180 people will have diabetes despite testing negative.
d. Answer part (d) here.
i. What is the probability of having the disease given that you tested
negative?
ii. $\frac{180}{(180+80080)}= 0.69209$
e. Comment on how prevalence of the disease affects your ability to trust the
test. Discuss what factors would lead you to trust the blood test, or not trust
the blood test.
i. Use your own judgement to decide whether or not you trust the diabetes
test, using parts B and D.