Three pigments interact to produce flower color If the three

Three pigments interact to produce flower color. If the three genes involved in the production of these pigments are unlinked, self-crossing a triple heterozygote should produce flower colors in the following ratios: 27 black to 12 red to 12 blue to 9 purple to 4 white. The results of a self-crossing experiment produced plants with 38 black flowers, 24 red flowers, 15 blue flowers, 11 purple flowers and 8 white flowers. Test the hypothesis that the observed results follow a predicted 27:12:12:9:4 ratio. Use a 5% level of significance.

Solution

Answer

H0: Proportion is 27:!2:12:9:4

Ha: proportion is not as above

(two sided test)

O-E -2.5 6 -3 -2.5 2

Chi square 0.1543 2 0.5 0.4630 0.6667 3.784   

Df = 5-1 =4

The P-Value is 0.436027.

The result is not significant at p < 0.05.

The observed result follow the expected proportions.