Question 62600
In this problem there are four possible scenarios

Scenario 1: A person has the disease and tests positive
Scenario 2: A person has the disease and tests negative
Scenario 3: A person doesn't have the disease and tests positive
Scenario 4: A person doesn't have the disease and tests negative

Scenario 1: 97% of the 1% with the disease
{{{(97/100)*(1/100) = 0.0097}}} of the population.

Scenario 2: 3% of the 1% with the disease
{{{(3/100)*(1/100) = 0.0003}}} of the population.

Scenario 3: 6% of the 99% without the disease
{{{(6/100)*(99/100) = 0.0594}}} of the population.

Scenario 4: 94% of the 99% without the disease
{{{(94/100)*(99/100) = 0.9306}}} of the population.

The people in groups 1 and 3 will test positive ie 0.0097 + 0.0594 = 0.0691
Of these 0.0097 actually have the disease so the percentage is
{{{(0.0097/0.0691) *100 = 14%}}}