S1.In the garden pea, orange pods (orp) are recessive to green pods (Orp), and sensitivity to pea mosaic virus (mo) is recessive to resistance to the virus (Mo). A plant with orange pods and sensitivity to the virus was crossed to a true-breeding plant with green pods and resistance to the virus. The F1plants were then testcrossed to plants with orange pods and sensitivity to the virus. The following results were obtained: 160 orange pods, virus sensitive 165 green pods, virus resistant 36 orange pods, virus resistant 39green pods, virus sensitive 400 total A. Conduct a chi square analysis to see if these genes are linked. B. If they are linked, calculate the map distance between the two genes. Answer:A. Chi square analysis. 1. Our hypothesis is that the genes are not linked. 2. Calculate the predicted number of offspring based on the hypothesis. The testcross is The predicted outcome of this cross under our hypothesis is a 1:1:1:1 ratio of plants with the four possible phenotypes. In other words, 1/4 should have the phenotype orange pods, virus sensitive; 1/4 should have green pods, virus resistant; 1/4 should have orange pods, virus resistant; and 1/4 should have green pods, virus sensitive. Since there were a total of 400 offspring, our hypothesis predicts 100 offspring in each category. 3. Calculate the chi square. 22222112233441234222222()()()()(160100)(165100)(36100)(39100)1001001001003642.34137.2156.5OEOEOEOEEEEEχχχ−−−−=+++−−−−=+++=+++=4. Interpret the chi square value. The calculated chi square value is quite large. This indicates that the deviation between observed and expected values is very high. For three degrees of freedom in table 2.1, such a large deviation is expected to occur by chance alone less than 1% of the time. Therefore, we reject the hypothesis that the genes assort independently. As an alternative, we may infer that the two genes are linked.
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