Question

In fruit flies, three mutations ebony body (e) vestigial wings (vg) and antennadepia(a) result in black body color, short wings and legs that grow where antennae should be. The wild type conditions for these traits are a tan body color (e+) long wings(vg+) and normal antennae(a+). A cross was performed between a tan bodied, short winged female fly with normal antennae and a male with a black body, long wings, and antennapedia. The F1 were all tan with long winds and normal antennae. An f1 female was crossed with a male that was ebony bodied, vestigial winged and had antennapeidia. The 3,000 offspring showed the following:

Tan, vestigial wings, antennapedia 956

Ebony, vestigial wings. antennapedia 157

Tan, vestigial wings, normal antennae 12

Ebony, vestigial wings, normal antennae 355

Tan, long wings, normal antennae 158

Ebony, long wings, normal antennae 1,000

Tan. long wings, antennapedia 352

Ebony, long wings, antennapedia 10

Use a chi squared test to determine if the genes are independently assorting, indicate the chi square value, degrees of freedom and critical value at P=.05. If they are not indepently , then map the genes. Draw the two chromosomes of the F1 female and include the distance between each gene.