The soybean cyst nematode is a roundworm pest affecting the yield of soybean cro

Question

The soybean cyst nematode is a roundworm pest affecting the yield of soybean crops worldwide. Nematode-resistant soybean lines have been used for agriculture, but nematode populations have adapted. One recent soybean line we will call A is resistant to most nematodes except the supervirulent nematode LY1. A new soybean line we will call B has been shown to be resistant to LY1 and to be genetically different from soybean line A. Understanding the genetics of soybean resistance to LY1 is an important step in creating a genetically engineered soybean that would resist most nematodes, including the virulent LY1. Researchers crossed soybean lines A and B. They obtained 105 second-generation plants, of which 5 were resistant to LY1 and 100 were not. The researchers state that the data are "a good fit to an expected three-gene model, Rhg, rhg, rhg (one dominant and two recessive genes) with a segregation ratio of 3 (Resistant):61 (Susceptible)."

The researchers describe a 3:61 distribution. Write the null and alternative hypotheses for the corresponding chi-square goodness of fit test.

What is the expected count for resistant soybeans under the null hypothesis?

(Fill in the blank below and round your answer to 3 decimal places to the nearest digit.)

Expected count =

The soybean cyst nematode is a roundworm pest affecting the yield of soybean crops worldwide. Nematode-resistant soybean lines have been used for agriculture, but nematode populations have adapted. One recent soybean line we will call A is resistant to most nematodes except the supervirulent nematode LY1. A new soybean line we will call B has been shown to be resistant to LY1 and to be genetically different from soybean line A. Understanding the genetics of soybean resistance to LY1 is an important step in creating a genetically engineered soybean that would resist most nematodes, including the virulent LY1. Researchers crossed soybean lines A and B. They obtained 105 second-generation plants, of which 5 were resistant to LY1 and 100 were not. The researchers state that the data are "a good fit to an expected three-gene model, Rhg, rhg, rhg (one dominant and two recessive genes) with a segregation ratio of 3 (Resistant):61 (Susceptible)."

The researchers describe a 3:61 distribution. Write the null and alternative hypotheses for the corresponding chi-square goodness of fit test.

What is the expected count for resistant soybeans under the null hypothesis?

Explanation / Answer

Answer:

The soybean cyst nematode is a roundworm pest affecting the yield of soybean crops worldwide. Nematode-resistant soybean lines have been used for agriculture, but nematode populations have adapted. One recent soybean line we will call A is resistant to most nematodes except the supervirulent nematode LY1. A new soybean line we will call B has been shown to be resistant to LY1 and to be genetically different from soybean line A. Understanding the genetics of soybean resistance to LY1 is an important step in creating a genetically engineered soybean that would resist most nematodes, including the virulent LY1. Researchers crossed soybean lines A and B. They obtained 105 second-generation plants, of which 5 were resistant to LY1 and 100 were not. The researchers state that the data are "a good fit to an expected three-gene model, Rhg, rhg, rhg (one dominant and two recessive genes) with a segregation ratio of 3 (Resistant):61 (Susceptible)."

The researchers describe a 3:61 distribution. Write the null and alternative hypotheses for the corresponding chi-square goodness of fit test.

What is the expected count for resistant soybeans under the null hypothesis?

3:61 distribution means the proportion of 3/64

The total obtained plants=105

expected count for resistant soybeans = (3/64)*105 =4.921875

(Fill in the blank below and round your answer to 3 decimal places to the nearest digit.)

Expected count =4.922

The soybean cyst nematode is a roundworm pest affecting the yield of soybean crops worldwide. Nematode-resistant soybean lines have been used for agriculture, but nematode populations have adapted. One recent soybean line we will call A is resistant to most nematodes except the supervirulent nematode LY1. A new soybean line we will call B has been shown to be resistant to LY1 and to be genetically different from soybean line A. Understanding the genetics of soybean resistance to LY1 is an important step in creating a genetically engineered soybean that would resist most nematodes, including the virulent LY1. Researchers crossed soybean lines A and B. They obtained 105 second-generation plants, of which 5 were resistant to LY1 and 100 were not. The researchers state that the data are "a good fit to an expected three-gene model, Rhg, rhg, rhg (one dominant and two recessive genes) with a segregation ratio of 3 (Resistant):61 (Susceptible)."

The researchers describe a 3:61 distribution. Write the null and alternative hypotheses for the corresponding chi-square goodness of fit test.

What is the expected count for resistant soybeans under the null hypothesis?

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