Question

A population of wild-flowers was scored for flower color. There were 302 blue (BB) plants, 1857 violet (BR) plants and 811 red (RR) plants. Please round your answer correctly to 4 decimal digits.
(a) What is the frequency of the blue (B) allele?
(b) What is the frequency of the red (R) allele? Please round your answer correctly to 4 decimal digits.

A chi-square test was conducted to test the hypothesis that the population genotypic frequencies are consistent with Hardy-Weinberg equilibrium frequencies.
(c) What is the expected number of blue (BB) plants? Please round your answer correctly to 4 decimal digits.
(d) What is the expected number of violet (BR) plants? Please round your answer correctly to 4 decimal digits.
(e) What is the expected number of red(RR) plants? Please round your answer correctly to 4 decimal digits.

Answer 1

Answer:

frequency of the blue (B) allele $= 0.4142$

frequency of the red (R) allele $= 0.5858$

The number of blue plants expected is $509.652$

The number of red plants expected is $1019.304$

The anticipated number of violet plants is $1441.341$

Calculated chi square value

$= 84.5320 + 42.5688 + 119.8692\\= 246.97$

Explanation:

Frequency of blue allele is

Frequency of blue allele is equal to sum of frequency of BB and half of frequency of BR

$\frac{302}{2970} + \frac{1}{2} \frac{1857}{2970} \\= 0.1016 + 0.3126\\= 0.4142$

Frequency of other allele

$1- 0.4142\\= 0.5858$

Chi Square test

See the attached file

The number of blue plants expected is $509.652$

The number of red plants expected is $1019.304$

The anticipated number of violet plants is $1441.341$

Calculated chi square value

$= 84.5320 + 42.5688 + 119.8692\\= 246.97$