The people of Montunui are experiencing a pandemic, and at the moment 0.01% of the individuals on the island are infected. Vaiana is considering taking a test to see if she is infected. The test has a sensitivity of 80%, ie P (test positive | the individual who was tested is infected) = 0.80. The test has a specificity of 99.99%, ie P (test negative | the individual who was tested is not infected) = 0.9999.

What is the probability that Vaiana is infected if her test result is positive?

The answer should be 44.4%.