Question

Lyme disease is an infection caused by bacteria. A test for Lyme disease may be affected by other medications and medical conditions. The testing results are summarized in the table.

Tested positive Tested negative Row Totals
Has Lyme disease 53% 17% 70%
Does not have Lyme disease 12% 18% 30%
Column Totals 65% 35% 100%


What percentage of all patients who took the test had a false negative result?
12%
17%
18%
35%

Answer 1

The answer is the %18 because when you add all of them and then divide them by how many their are u get 18

Answer 2

The percentage of all patients who took the test and had a false negative result is 18%.

Step-by-step explanation:

The false negative rate can be determined by looking at the row of patients who do have Lyme disease and calculating the percentage that tested negative. In this case, 17% of patients with Lyme disease tested negative, representing a false negative result. To find the percentage of all patients with a false negative, we consider the entire population.

The false negative rate is obtained by taking the 17% of patients with Lyme disease who tested negative and dividing it by the total number of patients. Mathematically, this is expressed as (17% / 70%) * 100%, which equals 24.29%. However, this percentage is relative to only those who tested positive for Lyme disease.

To express it as a percentage of all patients who took the test, we divide it by the total percentage of patients who took the test, resulting in 18%. Therefore, the answer is 18%, indicating the proportion of all patients who had a false negative result in the Lyme disease test.