# Estimate of narrow-sense heritability????

**Question description**

A survey of genetics students examined the heritability of human height. It can be shown that, under certain conditions, the slope (*b*) of the regression of a person's height on the height of their same-sex parent can be used as an estimate of *half* of the narrow-sense heritability (i.e. *h*^{2} = 2*b*).

The data are plotted above. Results of the analysis were as follows:

Combined male and female data, with adjustment for sex (number of samples = 94): *b* = 0.38 (p-value < 0.0001).

2. The statistical test of the regression slope evaluates how likely it is that we would have obtained a slope this large if the true heritability were zero. The usual p-value threshold for a statistical test is 0.05. Thus, what is the correct interpretation of the p-value of less than 0.0001 in the combined analysis?

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