Which factor most directly indicates whether statistical conclusions are justified by the data?

• A. Sample size
• B. Margin of error
• C. Data source
• D. Whether conclusions follow from data

Answer: (D)

The key idea here is assessing whether the conclusions actually follow from the data and the analysis used. In other words, do the claims made have solid support given the evidence and the methods? The other factors influence how reliable or precise the findings are—sample size affects precision, margin of error shows the uncertainty around estimates, and data source raises questions about potential bias. But even with a large sample or a small margin of error, conclusions can be unwarranted if the reasoning is faulty or the data are biased. Conversely, a well-designed study with reasonable data can justify conclusions even if the numbers aren’t perfect. So the direct indicator of whether conclusions are justified is whether they are logically supported by the data.