The Question is Incomplete.
Complete Question:
Refer to the table which summarizes the results of testing for a certain disease. (See attachment for table).
If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? Round to the nearest thousandth. What does this probability suggest about the accuracy of the test?
Answer:
Probability = 0.01294
Accuracy = 40.129%
Step-by-step explanation:
Probability is calculated as number of favorable outcomes / number of possible outcomes.
The number of false negatives = 4
Total possible outcomes = 120 + 4 +
13 + 172 = 309
So, the probability that it is a false negative = 4/309
Probability = 0.012944983818770
Probability = 0.01294 --- Approximated
Accuracy is calculated as;
(True Positive + True Negative)/Total
Where True Positive = 120
True Negative = 4
Accuracy = (120+4)/309
Accuracy = 124/309
Accuracy = 0.401294498381877
Accuracy = 40.129%
The probability suggests that there exists a very less accuracy in the test.
