Question

In: Biology

Assume you are studying some species of flower that comes in three different colors: red, pink,...

Assume you are studying some species of flower that comes in three different colors: red,

pink, and white. You know that color is determined by a single locus with two alleles with

incomplete dominance. You count 124 red flowers, 62 pink flowers, and 30 white flowers. What

are the allele frequencies and is the population in Hardy-Weinberg equilibrium? Calculate the χ2 test statistic and p-value.

Solutions

Expert Solution

Estimation of allele frequencies :

Phenotype

Genotype

Freequency

Allele R

Allele r

Total

Red

RR

124

248

0

248

Pink

Rr

62

62

62

124

White

rr

30

0

60

60

Total

Total

216

310

122

432

Allele R

= 310 / 432

= 0.72

Allele r

= 122 / 432

= 0.28

Expected frequencies =

Red

RR

= 0.72 *0.72 = 0.515

*216 = 111

Pink

Rr

= 2 * 0.72 * 0.28 = 0.405

*216 = 88

White

rr

= 0.28 *0.28 = 0.080

*216 = 17

Null hypothesis: The observed values are not deviating from the expected values.

Category

RR

Rr

rr

Observed values

124

62

30

Exprected Values

111

88

17

Deviation

13

-26

13

D^2

163.1533

652.6133

163.1533

D^2/E

1.47

7.45

9.47

18.39

X^2

18.39

Degrees of freedom

1

Inference: The calculated chisquare value i.e. 18.39 is greater than the table value i.e. 3.84 at 1 DF and 0.05 probability, hence the null hypothesis is rejected which means the popuation is not in HW equilibrium.

The p value is 0.05 . The degrees of freedom here is = no. of genotypes - no of alleles; so 3-2 = 1


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