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Explain why the lead researcher's conclusion in the press release demonstrates a misunderstanding of the probabilistic nature of statistics. How should they correctly describe their statistically significant finding?
Case context: A research team evaluates a novel cognitive therapy for depression. After analyzing the data, they find that the improvement in symptoms is 'statistically significant' and the chances are low that their results are due to random error. The lead researcher drafts a press release stating, 'Our study definitively proves that this scientific theory of cognitive therapy is true and eliminates all possibility of error.'
Question: Explain why the lead researcher's conclusion in the press release demonstrates a misunderstanding of the probabilistic nature of statistics. How should they correctly describe their statistically significant finding?
Sample answer: The lead researcher's statement is incorrect because statistical conclusions are fundamentally probabilistic, not absolute. Even though the results are statistically significant and the chance of random error is low, the possibility of statistical errors (such as a Type I error) still exists. They should describe the finding by stating that the results support the theory and show a high probability of reflecting reality, but they cannot claim the study definitively proves the theory or completely eliminates statistical error.
Key points:
- Statistical significance means the chances are low that results are due to random error, not that error is completely eliminated.
- The conclusion ignores the ongoing possibility of Type I or Type II errors.
- Because statistics are probabilistic, no single study can definitively prove a scientific theory.
- The researcher should state the scientific theory is supported, not proven with absolute certainty.
Rubric: Award full points if the student demonstrates comprehension that 'statistically significant' does not equate to absolute certainty, identifies the researcher's error in claiming definitive proof, and explains that empirical findings only support rather than prove theories due to the possibility of statistical errors.
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Research Methods in Psychology - 4th American Edition @ KPU
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Impossibility of Proving a Theory
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