The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease and 97% accurate for a person who does not have the disease. In a given population, 3.5% of the people actually have the disorder. The probability that a randomly chosen person tests negative is .

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Answer:

Probability that a person has disease r and it is accurate result =98%

Probability that a person has disease  and it is accurate result =(100-98)=2%

Probability that a person doesn't has disease and is accurate result = 97%

Probability that a person doesn't has disease and is Inaccurate result = (100-97)=3%

As, it is given that 3.5% of population has disorder.

Probability that a randomly chosen person tests negative out of 3.5% who are affected =Affected population × Probability that he is found negative that is doesn't have liver disorder

   [tex]\frac{3.5}{100}\times \frac{2}{100}=\frac{7}{10000}=0.0007[/tex]

=0.07%

Answer:

0.93675

Step-by-step explanation:

98% accurate for those who have the disease, which means receiving a positive result.

97% accurate for those who don't have the disease, which means receiving a negative result.

3.5% of people have the disease, which means 96.5% of people do not.

98% of 3.5% = 3.43% of people receive true positive results, so 0.07% of people receive false negative results.

97% of 96.5% = 93.605% of people receive true negative results.

0.07% false negative results + 93.605% true negative results = 93.675% negative results in all.

93.675% = 0.93675 probability that a randomly chosen person tests negative.