In: Statistics and Probability
Using the data found in Table 4 and Bayes’ Formula, determine the probability that a randomly selected patient will have Strep Throat given the SARTD test result was positive. Use the CDC stated prevalence of 25%. Round answer to nearest hundredth of a percent (i.e. 45.67%).
Then using the same Table 4, and Bayes’ Formula, determine the probability that a randomly selected patient will not have Strep Throat given the SARTD test result was negative. Use the CDC stated prevalence of 25%. Round answer to nearest hundredth of a percent.
| Strep Pos | Strep Neg | Total | |
| SARTD Pos | 80 | 23 | 103 | 
| SARTD Neg | 38 | 349 | 387 | 
| Total | 118 | 372 | 490 | 
| Table 4: SARTD vs conventional culture |