Suppose that in a twin design family study, the average trait similarity within identical twins was no higher than for fraternal twins. The same environment was shared within all twin pairs. This outcome implies that

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The fact that the average trait similarity within identical twins was no higher than for fraternal twins, despite sharing the same environment, suggests that there is little or no genetic influence on the trait. Therefore, the heritability of the trait is low.

Suppose That in a Twin Design Family Study, the Average