Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

After applying Bayes' Theorem in the 'Disease Testing Problem' (Slides 24-26), what was the 'Shocking Result' regarding the probability of actually having the disease given a positive test?
Options
A The probability was very high, close to 95%.
B The probability was exactly 50%, indicating no real diagnostic value.
C The probability was only 32.4%, significantly lower than the test's accuracy.
Correct Answer
D The probability could not be determined due to insufficient information.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 26 concludes with 'The Shocking Result: Despite the positive test, the probability of actually having the disease is only 32.4%!'

Hint

Review the final calculation and statement on Slide 26 of the disease testing example.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 47 of 112
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