Question

The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.950. If a person does not have the disease, the probability that the test will produce a positive signal is 0.050. If a man tests negative, what is the probability that he actually has the disease? (Round the final answer to five decimal places.)

Name: the proportion of people in a given community who have a certain disease is 0005 a test is available to diagnose the disease if a person has the disease the probability that the test will pr 36376
Uploaded: 2023-03-15T00:48:52-08:00
Duration: 3 min 2 s
Channel: Sri K
Description: the proportion of people in a given community who have a certain disease is 0005 a test is available to diagnose the disease if a person has the disease the probability that the test will pr 36376

          The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.950. If a person does not have the disease, the probability that the test will produce a positive signal is 0.050.
If a man tests negative, what is the probability that he actually has the disease? (Round the final answer to five decimal places.)

Added by Natasha C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

03/15/2023

Step 1

Given: - P(D) = 0.005 - P(T+ | D) = 0.950 - P(T+ | not D) = 0.050 Thus P(T− | D) = 1 − 0.950 = 0.050 and P(T− | not D) = 1 − 0.050 = 0.950. Show more…

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The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.950. If a person does not have the disease, the probability that the test will produce a positive signal is 0.050. If a man tests negative, what is the probability that he actually has the disease? (Round the final answer to five decimal places.)