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1. A researcher reports that the size of an effect in Population A is d = 0.10 and the effect size in Population B is d = 0.34. Which population is associated with greater power to detect an effect?
Solution: We are given that a researcher reports that the size of an effect in Population A is d = 0.10 and the effect size in Population B is d = 0.34.
We have to find which population is associated with greater power to detect an effect.
We know that the relationship between the effect size and power of the statistical test. The relationship is:
"When the effect size increases, the power increases"
Since population B has more effect size than population A, therefore, the population B is associated with greater power to detect an effect.
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