Final answer:
The sensitivity of a genetic test for anemia, given 100% accuracy in detecting the AN risk allele, is 67% (C).
Step-by-step explanation:
Sensitivity, also known as the true positive rate, is the proportion of actual positives correctly identified by a diagnostic test. In this context, if the genetic test can detect the AN risk allele with 100% accuracy, it means that whenever an individual has the allele (true positive), the test will correctly identify it. The sensitivity is calculated as the number of true positives divided by the sum of true positives and false negatives, multiplied by 100 to express it as a percentage.
![\[ \text{Sensitivity} = \left( \frac{\text{True Positives}}{\text{True Positives} + \text{False Negatives}} \right) * 100 \]](https://img.qammunity.org/2024/formulas/biology/high-school/gti3ulzubvxu749q993a3xlbusgy75z1rz.png)
In the provided options, 67% (Option C) is the correct sensitivity value. This indicates that the genetic test, when accurate in identifying the AN risk allele, will successfully detect anemia in 67% of individuals with the condition. Options A, B, D, and E represent incorrect sensitivity values and do not accurately reflect the diagnostic performance in this scenario. Therefore, the correct answer is 67%, emphasizing the importance of sensitivity in evaluating the effectiveness of a diagnostic test for anemia.