2. A researcher transferred two hybrid Red color fishes, from a pure line Red color fish as dominant and pure line White color fish as recessive, in a large aquarium for breeding purposes. After few months, fingerlings were seen inside the aquarium, however, two colors of the fishes were observed. The researcher counted the fingerlings and obtained 133 red color fishes and 38 white color fishes. The researcher did not know if the result followed the Mendelian genetic ratio of 3:1? a) With the given problem, compute the chi square value. Show your solutions. b) Does the result follow the ratio of 3:1 at 0.05 significance level? Why or why not?

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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2. A researcher transferred two hybrid Red color fishes, from a pure line Red color
fish as dominant and pure line White color fish as recessive, in a large aquarium for
breeding purposes. After few months, fingerlings were seen inside the aquarium,
however, two colors of the fishes were observed. The researcher counted the
fingerlings and obtained 133 red color fishes and 38 white color fishes. The researcher
did not know if the result followed the Mendelian genetic ratio of 3:1?
a) With the given problem, compute the chi square value. Show your solutions.
b) Does the result follow the ratio of 3:1 at 0.05 significance level? Why or why not?
Transcribed Image Text:2. A researcher transferred two hybrid Red color fishes, from a pure line Red color fish as dominant and pure line White color fish as recessive, in a large aquarium for breeding purposes. After few months, fingerlings were seen inside the aquarium, however, two colors of the fishes were observed. The researcher counted the fingerlings and obtained 133 red color fishes and 38 white color fishes. The researcher did not know if the result followed the Mendelian genetic ratio of 3:1? a) With the given problem, compute the chi square value. Show your solutions. b) Does the result follow the ratio of 3:1 at 0.05 significance level? Why or why not?
Critical values for x? test
p-val
0.1 0.05 | 0.01 0.005
DF
1
2.706 3.84
6.64
7.88
2 4.605 | 5.99
9.21
10.60
3 6.251 7.82
11.35 12.94
4 7.779 | 9.49
13.28 14.86
5
9.236 11.07 15.09 16.75
6 10.65 | 12.59 16.81 | 18.55
7 12.02 14.07 | 18.48 20.28
8 13.36 | 15.51 | 20.09 21.96
9 14.68 16.92 | 21.67 23.59
10 15.99 | 18.31 23.21 | 25.19
Transcribed Image Text:Critical values for x? test p-val 0.1 0.05 | 0.01 0.005 DF 1 2.706 3.84 6.64 7.88 2 4.605 | 5.99 9.21 10.60 3 6.251 7.82 11.35 12.94 4 7.779 | 9.49 13.28 14.86 5 9.236 11.07 15.09 16.75 6 10.65 | 12.59 16.81 | 18.55 7 12.02 14.07 | 18.48 20.28 8 13.36 | 15.51 | 20.09 21.96 9 14.68 16.92 | 21.67 23.59 10 15.99 | 18.31 23.21 | 25.19
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