3.Luijckx et al (2012) discovered that resistance to the bacterial parasite Pasteuria ramose is genetically variable in the common freshwater crustacean, Daphnia magna. To investigate the genetic basis of this variation, they crossed a completely resistant lineage to a completely susceptible lineage. All the F1 offspring were resistant. These offspring, when mature, were then crossed to each other to produce an F2 generation. If resistance is the result of only a single gene with two forms (alleles) then resistant and susceptible F offspring should occur in a 3:1 ratio. Of 71 F2’s tested, 57 were resistant and 14 were susceptible.a.With these data, calculate the range of most plausible-values for the proportion of resistant offspring. Does the plausible range include the proportion predicted if resistance is determined by a single gene?b.Give two other values for proportion that are also consistent with the data.c.Test the genetic hypothesis. Are the results compatible with the findings in part (a)?d.On the basis of these results, is it correct to conclude that a single gene in Daphnia magna underlies resistance to the bacterium?

Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have solved only the first three subparts for you. If you need any specific subpart to be answered, please re-submit the question by specifying the subpart number or name.(a). Calculate the most-plausible values for the proportion of resistant offspring: The sample size is n = 71. The number of specified characteristics is x = 57. The sample proportion is p^ = x/n = 57/71 = 0.8028. Critical value: The given confidence level is 100*(1–α)% = 95%. From this, the level of significance value is α = 0.05. The critical value corresponding to the 95% confidence level is obtained as z(α/2) = ±1.96 from the calculation given below: The most plausible values for the proportion of resistant offspring is obtained as (0.7102, 0.8954) from the calculation given below: Thus, the most plausible values for the proportion of resistant offspring is (0.7102, 0.8954). (b). Give two other values for the proportion that are also consistent with the data: Of 71 F2’s tested, 57 were resistant. The ratio offspring of resistant ratio is 3:1. The two other values for the proportion that are also consistent with the data are: p^ = 57/71 = 0.8028 and p^ = ¾ = 0.75.(c). Test the genetic hypothesis: The observed values are 57 and 14. The expected values are 71*(3/4) = 53.25 and 71*(1/4) = 17.75. The test hypotheses are: Null hypothesis H0: Resistant and susceptible occurs in the ratio 3 : 1. Alternative hypothesis Ha: Resistant and susceptible does not occur in the ratio 3 : 1. The chi-square test statistic is obtained as given below: The P-value for the test can be obtained in EXCEL using the formula “=CHISQ.DIST.RT(0.9664,1)”. The P-value is 0.3256. Since, the P-value is greater than the level of significance, we fail to reject null hypothesis. Thus, the resistant and susceptible occurs in the ratio 3 : 1.

Answered: .Luijckx et al (2012) discovered that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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3.Luijckx et al (2012) discovered that resistance to the bacterial parasite Pasteuria ramose is genetically variable in the common freshwater crustacean, Daphnia magna. To investigate the genetic basis of this variation, they crossed a completely resistant lineage to a completely susceptible lineage. All the F₁ offspring were resistant. These offspring, when mature, were then crossed to each other to produce an F₂generation. If resistance is the result of only a single gene with two forms (alleles) then resistant and susceptible F offspring should occur in a 3:1 ratio. Of 71 F₂’s tested, 57 were resistant and 14 were susceptible.

a.With these data, calculate the range of most plausible-values for the proportion of resistant offspring. Does the plausible range include the proportion predicted if resistance is determined by a single gene?

b.Give two other values for proportion that are also consistent with the data.

c.Test the genetic hypothesis. Are the results compatible with the findings in part (a)?

d.On the basis of these results, is it correct to conclude that a single gene in Daphnia magna underlies resistance to the bacterium?

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