Mathematics · Psychometrics and Statistics
A test developer is evaluating four different test items administered to a total of 200 test-takers for an educational assessment. The goal is to identify the item that falls within the generally considered ideal range of the Item Difficulty Index (p-value) for differentiating performance levels. The number of correct responses for each item is given below: Item W: 150 correct responses Item X: 110 correct responses Item Y: 50 correct responses Item Z: 180 correct responses Based on the calculation of the Item Difficulty Index, which item represents the ideal difficulty for this assessment?
- 1Item Z with a p-value of 0.90
- 2Item Y with a p-value of 0.25
- 3Item X with a p-value of 0.55✓
- 4Item W with a p-value of 0.75
Correct answer
Item X with a p-value of 0.55
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