I insert the same numbers to calculator like this:
(1/133*0.94)/((1/133*0.94)+(132/133*0.27)) and the result is 0.025697102241662106... please fix the calculator
The calculator is correct, the formula is wrong. The denominator should be bracketed together to group the two probabilities of positive results together - .94 * 1/133 /( .94 * 1/133 + .27*132/133) = .025697 = 2.6%
Rod's comment above seems correct.
We need find P(Celiac|Positive) which according to the formula should be equal to (P(Positive|Celiac)*P(Celiac))/P(Positive)
However, the answer is marked incorrect
Sorry for the error, the answer has been updated.
2.57% is incorrect? you have to fix that
Please enter your answer in decimal form (eg 0.0257)