Epistasis is a phenomenon in which one gene controls the expression of another. In one case, a dihybrid cross should yield a 9:3:4 ratio. You collect the following data on mice: black coat: 70 brown coat: 24 white coat: 26 Is there any reason to doubt the ratio of 9 black : 3 brown : 4 white?
here null hypothesis:Ho: collected data follows ratio of 9 black : 3 brown : 4 white
Alternate hypothesis:Ha: collected data does not follows ratio of 9 black : 3 brown : 4 white
degree of freedom =categories-1= | 2 | |||
for 0.05 level and 2 degree of freedom :rejection region = | 5.991 |
applying chi square goodness of fit test:
observed | Expected | Chi square | |||
category | Probability(p) | Oi | Ei=total*p | R2i=(Oi-Ei)2/Ei | |
black | 9/16 | 70.000 | 67.500 | 0.093 | |
brown | 3/16 | 24.000 | 22.500 | 0.100 | |
white | 1/4 | 26.000 | 30.000 | 0.533 | |
total | 1.000 | 120 | 120 | 0.7259 |
Decision: as test statitic is not in rejection region we fail to reject null hypothesis
Conclusion:we do not have sufficient evidence to conclude that there is a differnce in data collected from ratio of 9 black : 3 brown : 4 white
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