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In a research article by Santos and Mazzaferri (1989), the researchers compared two diagnostic tests for hypothyroid. The test A has the sensitivity of 90%

  1. In a research article by Santos and Mazzaferri (1989), the researchers compared two diagnostic tests for hypothyroid. The test A has the sensitivity of 90% and specificity of 86%, and the test B has the sensitivity of 80% and the specificity of 92%. If we were to test 1000 patients using both test A and test B, given the prevalence of the disease hypothyroid being 5%, find the true positives, true negatives, false positives and false negatives by filling the following two tables.
  2. (4 pts) Fill in the table with the true positives, true negatives, false positives and false negatives for test A

Hypothyroid

Healthy

Row total

Test+

45

133

178

Test-

5

817

822

Column total

50

950

1000

  1. (4 pts) Fill in the table with the true positives, true negatives, false positives and false negatives for test B

Hypothyroid

Healthy

Row total

Test+

40

76

116

Test-

10

874

884

Column total

50

950

1000

  1. (2pts) If a pharmaceutical company would like to adopt one of the tests between test A and test B and suppose the company will receive more customer complaints with false negatives but not many complaints with false positives, which type of test should this company adopt? Why?

I need a little help with this question C. The rest is done. Thank you.

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