To determine if there is a genetic effect on blood pressure, blood pressure is m

Question

To determine if there is a genetic effect on blood pressure, blood pressure is measured in two groups of children, children who live with their natural mothers and children who live with adoptive mothers. The correlations between blood pressure of a mother and child are then compared between the two groups. Suppose 1000 natural mother-child pairs are measured and a correlation of 0.35 is found and suppose that the correlation in the adoptive group is known to be 0.1. Test the hypothesis that there is a genetic effect on blood pressure using alpha = 0.05.

Explanation / Answer

Ho: There is no generic effect on blood pressure.

Ha: There is generic effect on blood pressure.

Test statistics

Z = r'1 - r'2 / S where S = Sqrt ( 1/(n1-1) + 1/(n2-1))

r'1= 0.5 [ln(1+r1) - ln(1-r1)] = 0.365 , r'2 = 0.5 [ln(1+r2) - ln(1-r2)] = 0.1

And r'1 and r'2 are Fishers(r1) and Fishers(r2) respectively.

S = Sqrt(1/999 + 1/999) = 0.044744

Z = 0.365 - 0.1 / 0.044744

Z = 5.92

Z score test statisctics value is 5.92

Z critical value at 0.05 level is 1.96.

We have sufficient evidence to reject Ho.

We conclude that there is generic effect on blood pressure.

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