(Solved): ( 28 pts ) Calculate the probability that: Suppose that the test below has a 3% false positive and a ...

( 28 pts ) Calculate the probability that: Suppose that the test below has a 3% false positive and a

false negative rate. If the probability you are positive ) is

, fill in the table and calculate the following: (HINT: Values in the table are integers or numbers with decimals.

NOT probabilities!!!) i) Fill in the blanks above. (16 pts) ii) The test below is accurate. (2 pts) iii) The probability that a positive test means you have the disease. (2 pts)

iv) The probability that a negative result means you are negative. (2 pts)

v) John Oliver was outraged that a test can be wrong

of the time when it comes back positive. If a standard medical screening test is as accurate as what you just calculated, does that make the test inherentlv bad? (2-3 sentences) (2 nts) vi) Since the positivity rate for COVID-19 tests are about 3%, do you think it is fair to tell everyone that tests positive with this screening test they are not allowed to work for 2 weeks and they will not get paid for their time off? (

sentences) (3 pts)