A person guesses every answer. What score would be expected by chance on the original test (25 items, two choices) and on the revised test (36 items, four choices)? What does this show?
- Original test: chance of a correct guess = 1 ÷ 2, so expected score = 25 × 0.5 = 12.5, which is 50% of the marks.
- Revised test: chance of a correct guess = 1 ÷ 4, so expected score = 36 × 0.25 = 9, which is 25% of the marks.
- On the revised test there is a wider range of scores above the chance level, so real differences between people show more clearly.
Answer: 12.5 out of 25 on the original test and 9 out of 36 on the revised test. The revised test is less affected by guessing, so it is a more sensitive measure.