Mrs. Orlof teaches two history classes, one in the morning and one in the afternoon. Yesterday she gave the same test to both classes. Anyone who failed the test must take a retest. Since a greater percentage of students who took the morning test failed the test than students who took the afternoon test, more of Orlof’s morning history students than afternoon history students will have to take the retest.

The conclusion above is not necessarily valid because

We don't know the number of students in each class.

See the Related Questions below.

the percentage of students who failed the test does not directly determine the number of students who will have to take the retest. The conclusion assumes that the total number of students in both morning and afternoon classes is the same, which might not be true. To determine the number of students who will have to take the retest, we need additional information such as the total number of students in each class or the actual number of students who failed the test in each class.