Gregor Mendel conducted a testcross involving a double-heterozygote, pea plant t

Question

Gregor Mendel conducted a testcross involving a double-heterozygote, pea plant that produced Smooth, Yellow seeds (SsYy) with a double-homozygote pea plant that produced wrinkled, green seeds (ssyy). He got the following progeny:

154 smooth, yellow 124 smooth, green 144 wrinkled, yellow 146 wrinkled, green Total = 568

a) What do you predict is the expected ratio for the four phenotypic classes?

b) Use a chi-squared test to test if Mendel’s results are statistically consistent with your prediction, assume P = 0.05. Show your work.

c) State whether you reject or accept your null hypothesis.

Explanation / Answer

                        Smooth   wrinkled    yellow   green

1. Observed         278          292         300      270

2. Expected (E)        290           276        268      298

3. Deviation (D)        -12         16          32       -28

4. D2                           144         256        1024     784

5. D2 / E               0.496      0.927      3.8       2.6

Chi-square X2 = 7.8

Degree of freedom =3

p value = 0.05 therefore p is between 0.05 - 0.1, accept the hypothesis

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