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Suppose you have a test that is 95% effective at detecting terrorists, and it is used in mass surveillance on a population of one million people. The effectiveness of 95% applies to both detecting people who are terrorists and determining that people are innocent. This means that both the false match rate and the false non-match rate are 5%. Additionally, suppose there are 100 terrorists among the million people.

1. How many genuine terrorists will be found?
2. How many terrorists will escape detection (false non-matches)?
3. How many innocent people will be flagged as terrorists (false matches)?

Answer :

Final answer:

For a population of one million people with 100 terrorists, a 95% effective test would spot 95 terrorists, miss 5, and incorrectly flag 49,995 innocent people as terrorists.

Explanation:

This is a problem of probability and statistics. Given that the test is 95% effective, with 100 terrorists in the population:

  1. The number of genuine terrorists that will be found = 95% * 100 = 95 terrorists.
  2. The number of terrorists that will escape detection (false non-matches) = 100 - 95 = 5 terrorists.
  3. The number of innocent people that will be flagged as terrorists (false matches) = 5% * (1,000,000 - 100) = 49,995 innocent people.

Learn more about Probability and Statistics here:

https://brainly.com/question/35203949

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