Question

Epistasis is a phenomenon in which one gene controls the expression of another. In one case,...

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?

Math   Statistics-And-Probability   
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Answer #1

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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