Question

A newly created medical test, the purpose of which is to diagnose a rare disease, has been tested on a group of N patients. For each patient, the test may be either positive or negative, but the result might not always be correct (e.g. a person with a positive test result may in fact not be ill). Having information about the real state of health of each patient, which we call the 'predicted test result, we want to calculate the quality of the new test, that is, its sensitivity and specificity.

Write a function :
class Solution { public double solution(int[ ] A, int[ ] B, boolean q); }

that, given two arrays of binary values A and B, both of length N, representing the actual and predicted results of a test, where 0 represents a negative result and 1 a positive one, returns either sensitivity of the test (when q is false) or specificity of the test (when q is true).
Example test cases
A [1,0, 1,1,0, 1], B- [0, 1,1,0, 0, 1], q false:

Answer 1

The function should calculate the sensitivity or specificity of a medical test based on the actual and predicted results. Sensitivity refers to the probability of a positive result when the patient is infected, while specificity refers to the probability of a negative result when the patient is not infected.

Step-by-step explanation:

The question is asking for a function that calculates the sensitivity or specificity of a medical test. Sensitivity refers to the probability of getting a positive test result when the patient is infected, while specificity refers to the probability of getting a negative test result when the patient is not infected. The function should take in two arrays, A and B, representing the actual and predicted results of the test. When q is false, the function should calculate and return the sensitivity of the test. When q is true, it should calculate and return the specificity of the test.

To calculate the sensitivity, we need to find the number of true positive results and divide it by the sum of true positive and false negative results. To calculate the specificity, we need to find the number of true negative results and divide it by the sum of true negative and false positive results.

The question relates to programming a function to calculate the sensitivity and specificity of a medical test, based on actual and predicted test results for a group of patients.

The student is asking about creating a function to calculate the sensitivity and specificity of a medical test based on actual and predicted results. Sensitivity refers to the ability of a test to correctly identify patients with a disease (true positive rate), reducing false negatives. Specificity indicates the ability of a test to correctly identify patients without the disease (true negative rate), reducing false positives. The function should take two arrays, one with the actual health state of the patients and another with the predicted test results, and a boolean that determines whether to calculate sensitivity (q = false) or specificity (q = true).