1) A population of wild-flowers was scored for flower color. There were 205 blue
ID: 54690 • Letter: 1
Question
1) A population of wild-flowers was scored for flower color. There were 205 blue (BB) plants, 1988 violet (BR) plants and 866 red (RR) plants. Please round your answer correctly to 4 decimal digits. What is the frequency of the blue (B) allele?
2)What is the frequency of the red (R) allele? Please round your answer correctly to 4 decimal digits.
3)
A chi-square test was conducted to test the hypothesis that the population genotypic frequencies are consistent with Hardy-Weinberg equilibrium frequencies.
Fill in the spaces below with the expected numbers for each phenotypic (genotypic) class in the chi-square test.
What is the expected number of blue (BB) plants? Please round your answer correctly to 4 decimal digits.
4)What is the expected number of violet (BR) plants? Please round your answer correctly to 4 decimal digits.
5)What is the expected number of red(RR) plants? Please round your answer correctly to 4 decimal digits.
6)Keeping all decimal digits during your calculations and rounding your answer to 3 decimal digits, what is the calculated chi-square value?
7).What is the number for the degrees of freedom?
8).What is the critical value? Round to two decimal places.
Could really use help in this area of Genetics. Much appreciated
Explanation / Answer
Solution 1) Here, we have a population of wildflowers, out of which 205 blue (BB) plants, 1988 Violetiolet (BR) plants and 866 red (RR) plants.
Total number of plants will be 205+1988+866 = 3059
Also, we know that these are the diploid flowers, so the total number of alleles will be 3059 x 2 = 6118
and the alleles for each type of flowers will be BB = 410 B alleles, BR = 1988 B and 1988 R alleles, and RR = 1732 R alleles.
so, the frequency of B allele would be = 410+1988 / 6118 = 2398/6118 = 0.3919
Answer 2) Similarly, frequency of R allele = 1732+1988/6118 = 0.6080
Answer 3) According to the Hardy-Weinberg law,
expected Frequency of BB = (frequency of B allele)2 = 0.3919 x 0.3919 = 0.1536
expected Frequency of BR = 2xfrequency of B allelexfrequency of R allele = 2 x 0.3919x 0.6080 = 0.4765
expected Frequency of RR = frequency of R allele x frequency of R allele = 0.6080 x 0.6080 = 0.3696
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