Suppose that 5% of the general population has a disease and the test for the disease is accurate 80% of the time. what is the probability of testing positive for the disease?

The probability of testing positive for the disease is:

                                23%

The population who have disease = 5%

Hence, the population who do not have disease= 95%

( since 100%-55=95%)

Also, the percent that the test is accurate= 80%

and the percent that the test is not accurate= 100%-80%=20%

Hence, the  probability of testing positive for the disease is :

The person actually has disease×Test is positive+Person do not have disease×test is not accurate

=  0.05×0.80+0.95×0.20

= 0.23

Hence, the probability is: 23%

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