Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

In the 'Disease Testing Problem' (Slides 24-26), after a person tests positive (T+), what is the probability they actually have the disease (D)?
Options
A 0.01 (1%)
B 0.95 (95%)
C 0.02 (2%)
D Approximately 0.324 (32.4%)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Slide 25 and 26 show the calculation using Bayes' Theorem: P(D|T+) ≈ 0.324. This is highlighted as 'The Shocking Result' on Slide 26.

Hint

This calculation uses all given probabilities for the disease prevalence, true positive rate, and false positive rate.

Question Info