(1)
What is the prior probability that this random person is infected given the prevalence of the infection in the population? Your answer should be to 1 decimal place and given as a percentage. P(H
I
) = 0.8% (2) What is the prior probability that this random person is uninfected given the prevalence of the infection in the population? Your answer should be to 1 decimal place and given as a percentage. P(H
U
) = 99.2% (3) What is the observed E needed for the Bayes theorem formula in this case? E = The person is tested negative on the test. (4) What is value of the prediction probability or likelihood P(E|H
I
) needed for the Bayes theorem formula? Your answer should be to 1 decimal place and given as a percentage. P(E |H
I
) = 5.0% (5) What is value of the prediction probability or likelihood P(E|H
U
) needed for the Bayes theorem formula? Your answer should be to 1 decimal place and given as a percentage. P(E | H
U
) = 85.0% (6) What is the posterior result probability for the hypothesis H
I given the observed E? You don’t need to show your calculations. Your calculations should be done with values of the prior and prediction probabilities to 2 decimal places. Your answer should be to 1 decimal place and given as a percentage. P(H
I
| E) = 0.0% (7) What is the posterior result probability for the hypothesis H
U given the observed E? You don’t need to show your calculations. Your answer should be to 1 decimal place and given as a percentage. P(H
U
| E) = 100.0% (8) We are told that a rapid test was given to 330 departing Westjet passengers at the Vancouver airport in early 2021. We don’t really know that the test used was the Spartan rapid test. But
