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A researcher conducts a study on a new antidepressant and finds a p-value of 0.03.

Which statement accurately describes the statistical interpretation of this finding if the significance level (α) is set at 0.05?

  1. The study demonstrates high clinical significance no matter how small the observed effect size is.
  2. The null hypothesis is accepted here simply because the calculated p-value obtained is greater than zero.
  3. The null hypothesis is rejected; there is a 3% probability of obtaining these results if the drug has no effect.
  4. There is a 97% probability that this particular antidepressant drug is truly effective in the general adult population.

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