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A cross is carried out between the homozygous genotypes A B C and a b c. The triply heterozygous F1 offspring are crossed with homozygous a b c. The resulting progeny and their numbers are:

A B C / a b c 177
A B c / a b c 89
A b C / a b c 81
A b c / a b c 180
a B C / a b c 173
a B c / a b c 71
a b C / a b c 68
a b c / a b c 161
Total 1000

a) Perform a chi-square test of independence for linkage between genes A and B. What is ?2, the degrees of freedom, and the p-value?
b) Interpret the p-value. Is the p-value significant? Do you reject your null hypothesis? Are genes A and B linked?

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