Cysts After Researching Cysts of a Particular Type, a Doctor

question 165

Essay

Cysts After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign. A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not). The doctor has discovered the same type of cyst in a patient. {Cysts Narrative} What is the probability that the patient has a benign tumor if he or she tests positive?

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Definitions:

P-value

In statistical hypothesis testing, the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is correct.

Unemployment Rate

The unemployment rate is a measure of the percentage of the labor force that is jobless and actively looking for employment.

Natural Sampling Variation

The variability observed in sample data, which arises naturally due to random selection from a population.

Chlorine Level

A measure of the amount of chlorine present in a substance, often used in water treatment to ensure the water is safe for consumption.