In: Biology
On the planet Susru, there are two types of bears; those who
like honey-nut cheerios, and those who like multi-grain. The
phenotype is determined in an epistatic way by two loci:
HNNT, with alleles H (dominant) and h (recessive), and
MLTGRN, with alleles M (dominant) and m (recessive).
In a cross of a HHMM bear and an hhmm bear, and the F1s like
honey-nut. A cross of two F1 bears produces the following sums
two-locus genotype counts:
All F2 bears with at least one H allele but no M alleles:
1001.
All F2 bears with at least one M allele but no H alleles:
754.
What number of F2 bears with the hhmm genotype would produce an F2
data set that is NOT consistent with a duplicate dominant mode of
inheritance at the 10% level of significance (Hint: Think
Chi-square)?
Dominant mode of inheritance ratio is 12 : 3 : 1
F2 :
All F2 bears with at least one H allele but no M alleles: 1001 (Phenotype : Honey-nut and Genotype : Hhmm)
All F2 bears with at least one M allele but no H alleles: 754 (Phenotype : Multigrain and Genotype : hhMM, hhMm)
12/16 x 100 = 75 %
3/16 x 100 = 18.75 %
1/16 x 100 = 6.25 %
If 75 % is 1001, then 100 % is 1335
75 % = 1001
100 % = ?
(100 x 1001) / 75 = 1355
Therefore, (1/ 16) x 1355 = 84
Observed | Expected | |
Honey nut (Hhmm) | 1001 | 1001 |
Multigrain (hhMM, hhMm) | 754 | 250 |
Plain (hhmm) | 118 | 84 |
The given data is not consistent with ratio of dominant mode of inheritance (12 : 3 : 1)
Therefore,
1001 + 754 = 1755
1755 = 93.75 %
118 = 6.25 %
Number of F2 bears with the hhmm genotype that would produce an F2 data set that is NOT consistent with a duplicate dominant mode of inheritance at the 10% level of significance = approximately 118