GENETIC PROPERTIES OF DOMINANT AND RECESSIVE ALLELES (from May 1992)



Objectives   The main objective of this experiment is to utilize the

             Chi-Square method of hypothesis testing using certain

             traits found in corn.  This experiment will also

             demonstrate the discrete units of genetic material

             discovered by Mendel.




Materials    In the monohybrid experiment, a true breeding (homozygous)

and Methods  white corn plant was crossed with a true breeding green corn

             plant.  The green and white colors are caused by the

             presence and absence (respectively) of chlorophyll in the

             early leaves. This first cross is called the F1 generation.

             The resulting offspring are then crossed with one another

             to produce the F2 generation.  The statistical data that

             results from the F2 generation will be used for hypothesis

             testing.



             In the dihybrid experiment, true breeding (homozygous)

             parents have been crossed to produce F1 and F2 generations

             similar to the way the monohybrid experiment is performed.

             In this experiment both leaf color and the height of the

             plant will be used for hypothesis testing.  The heights of

             the corn plants in the F2 generation fall into the same

             categories (tall and short) that the original true breeding

             parents were in.


Results      The following results refer to the number of plants in the

             F2 Generation showing the trait listed:



            Monohybrid Experiment       Dihybrid Experiment

                F2 Generation               F2 Generation

             Trait  Observed               Trait       Observed

             Green    65                   Green,Tall    53

             White    29                   Green,Short   20

                                           White,Tall    14

                                           White,Short   10



Discussion   Monohybrid experiment

             Hypothesis: The green true breeding parent has both dominant

                         alleles (GG), and the white true breeding parent

                         has both recessive alleles (gg).  The result of this

                         is that the cross (F1 generation) will receive

                         exactly one of each of the alleles resulting in a

                         Gg genotype.  The F2 Generation will result:

                          F1 Parent    This hypothesis implies that

                            G   g      3/4 of the offspring are green.
                                  
                  F1     G  GG  Gg     This can be caused by the GG or Gg
                
                Parent   g  Gg  gg     genotypes.  The remaining 1/4

                         F2 Genotype   of white plants are caused by

                                       the gg allele combination.








                   F2 Generation           By using Chi-Square,

                Trait  Observed Expected
                                            2          2
                Green    65       70       X  = (65-70) / 70
                                                       2
                White    29       24           +(29-24) / 24 = 1.3988

                Total    94       94      and using 1 degree of freedom,

                                 the probability is greater than .20 (1 in 5)

             that the deviation from the expected data is due to chance.



             Dihybrid Experiment

             Hypothesis:  The tall trait is caused by a dominant allele (T)

                          from one of the true breeding parents.  The recessive

                          allele (t), is also homozygous in one of the parents.

                          The other trait, color of the leaves, is not a

                          linked trait, but follows the principle of

                          independent assortment. The following true breeding

                          parents are possible: GGTT and ggtt,

                                           or : GGtt and ggTT.

                          In both cases the genotypes will be the same in

                          the F2 generation.  The F1 generation has the

                          genotype: GgTt.  The F2 generation will result:



                            F1 Parent allele

                          G T   G t   g T   g t     The phenotypes:

                     G T  GGTT  GGTt  GgTT  GgTt     9/16 Green,Tall

               F1    G t  GGTt  GGtt  GgTt  Ggtt     1/4  Green,Short

             Parent  g T  GgTT  GgTt  ggTT  ggTt     1/4  White,Tall

                     g t  GgTt  Ggtt  ggTt  ggtt     1/16 White,Short

                              F2 Genotype           Fractions of offspring

                         F2 Generation               Using Chi-Square,

                     Trait      Observed Expected
                                                      2          2
                     Green,Tall    53      55        X  = (53-55) / 55
                                                                 2
                     Green,Short   20      23            +(20-23) / 23
                                                                 2
                     White,Tall    14      23            +(14-23) / 23
                                                                2
                     White,Short   10       6            +(10-6) / 6  = 6.6524

                            Total  97      97

                    Using 3 degrees of freedom, the probability that the

                    deviation is due to chance is approximately .10 (1 in 10).



Summary and         The monohybrid experiment shows that the allele for

Conclusions         white leaves is recessive.  The probability that the

                    deviation is due to chance is greater that 20%.

                    The dihybrid experiment shows that the allele for short

                    plants is recessive.  It also indicates that the two

                    traits are not linked.  The probability that the

                    deviation is due to chance is approximately 10%.

                    Furthermore, the fact that traits that do not exist in

                    the F1 generation reappear in the F2 generation

                    contradicts the blending inheritance hypothesis.



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Last Update: September 3, 2003