According to a test for Heliobacter pylori has sensitivity of 98% and a specific

Question

According to a test for Heliobacter pylori has sensitivity of 98% and a specificity of 97%. According to an article Thailand has a 75% incidence of Heliobacter pylori in the 30 to 40 year old age group. compute and interpret negative predictive value of this diagnostic test in the 30 to 40 year age group According to a test for Heliobacter pylori has sensitivity of 98% and a specificity of 97%. According to an article Thailand has a 75% incidence of Heliobacter pylori in the 30 to 40 year old age group. compute and interpret negative predictive value of this diagnostic test in the 30 to 40 year age group

Explanation / Answer

probability of negative result =P(Heliobacter pylori and test negative+ no Heliobacter pylori and test negative)

=0.75*0.02+(1-0.75)*0.97=0.2575

hence  negative predictive value =P(no Heliobacter pylori and test negative)/P(test negative)

=(1-0.75)*0.97/0.2575=0.9417

above gives probability of not having Heliobacter pylori when test shows negative for Heliobacter pylori

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