Researcher A correlates scores on a predictor variable and a criterion variable and obtains a correlation coefficient that is statistically significant but of no practical significance. Researcher B correlates scores on a different predictor variable and the same criterion variable and obtains a correlation coefficient that is not statistically significant but of practical significance.
a. How can researcher B's correlation coefficient be significant in a practical sense but not in a statistical sense?
b. How can researcher A's correlation coefficient be significant in a statistical sense but not in a practical sense?

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The Answer of Researcher A correlates scores on a predictor variable and a criterion variable and obtains a correlation coefficient that is statistically significant but of no practical significance. Researcher B correlates scores on a different predictor variable and the same criterion variable and obtains a correlation coefficient that is not statistically significant but of practical significance.
a. How can researcher B's correlation coefficient be significant in a practical sense but not in a statistical sense?
b. How can researcher A's correlation coefficient be significant in a statistical sense but not in a practical sense?

Researcher a Correlates Scores on a Predictor Variable and a Criterion