A researcher conducts a study with 100,000 participants and finds that a new study habit improves exam scores by an average of 0.1 points out of 100. This result is statistically significant at p < .001. Which of the following best describes the relationship between the statistical and practical significance of this finding?

A team of researchers is reviewing different study outcomes. Match each specific research scenario or evaluation to the type of significance it best illustrates based on the provided details.

A researcher conducts a study on 100,000 students and finds that a new mnemonic strategy improves memory recall by 2%. Arrange the following steps in the logical analytical sequence a researcher must follow to determine if the findings should be implemented in schools, moving from initial probability testing to final utility assessment.

In psychological research, it is a sound evaluative judgment to conclude that a finding is practically significant solely because it has reached statistical significance ($p < .05$) in a study with a very large sample size.

A psychologist is designing a research protocol to evaluate a digital intervention for social anxiety using a massive sample of $N = 500,000$. To ensure the study results are interpreted with both statistical and practical significance in mind, which comprehensive reporting framework should the psychologist construct?

In psychological research, statistical significance measures the actual real-world importance or usefulness of a study's finding, while practical significance indicates whether the finding is unlikely to be caused by random chance.

When a researcher finds that a result is unlikely to have occurred by random chance alone, this indicates statistical significance. However, to determine whether the finding has real-world importance or usefulness, the researcher must also evaluate its _____ significance.

A statistically significant result simply indicates that an effect is unlikely to be caused by random chance. However, because large _____ can make even very weak or trivial effects appear statistically significant, researchers must also independently evaluate the finding's practical significance.

A clinical psychologist tests a new therapeutic smartphone app on a group of 8,000 patients with mild anxiety. The data shows that patients using the app scored 0.2 points lower on a 50-point anxiety inventory compared to the control group, a difference that is statistically significant ($p = .02$). However, the app requires patients to complete tedious daily modules that take two hours. How should the psychologist apply the concepts of statistical and practical significance to these research findings?

Analyze the following research scenarios by breaking them down into their statistical and practical significance components. Match each study scenario to the most accurate interpretation of its findings.