A Medical Test Has Been Designed to Detect the Presence

question 166

Short Answer

A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.99. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.02. It is estimated that 7% of the population who take this test have the disease.
If necessary, round your answers to three decimal places.
If the test administered to an individual is positive, what is the probability that the person actually has the disease?
__________
If an individual takes the test twice and both times the test is positive, what is the probability that the person actually has the disease?
__________

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Definitions:

Regular Field

A standard data entry area in a form or database, used to input or display single pieces of information.

Query Design Grid

A graphical tool within database software that lets users construct queries by laying out fields and criteria in a grid format.

Calculations

Mathematical operations performed to determine a result, widely used in various fields such as mathematics, finance, and data analysis.

Lookup List

A feature in database and spreadsheet software that provides a predefined list of values for a field, helping to ensure data consistency and accuracy.