A study designed to compare two ethnic groups on a measure o

A study designed to compare two ethnic groups on a measure of a particular personality trait used a large number of participants in order to have high power. The study found a significant result, but the difference between the means was very small (that is, there was a small effect size). What conclusion can be drawn regarding the difference between the two groups on the personality scale, and why?

Solution

As the difference between the means is very small but the study had found that the difference is significant, it implies that the standard error in the sampling is very small, which in turn implies that there is no significant difference between the two groups on the personality scale