According to genetics theory (e.g. Mancuso, et al. 2009; doi:10.1038/nature08401), red-green colour blindness in humans is a recessive gender-linked characteristic. Theory shows that 50% of children have normal vision and are not carriers of the colour blindness gene, whilst 25% of children have normal vision and are carriers of the colour blindness gene, and 25% of children are red-green colourblind and are carriers of the colour blindness gene. A random sample of 200 children was taken with the following results: *view table down below* a) use descriptive statistics to represent the data b) test at the 1% level of significance, if the sample follows genetics theory
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Chi - square
According to genetics theory (e.g. Mancuso, et al. 2009; doi:10.1038/nature08401), red-green colour blindness in humans is a recessive gender-linked characteristic. Theory shows that 50% of children have normal vision and are not carriers of the colour blindness gene, whilst 25% of children have normal vision and are carriers of the colour blindness gene, and 25% of children are red-green colourblind and are carriers of the colour blindness gene. A random sample of 200 children was taken with the following results:
*view table down below*
a) use
b) test at the 1% level of significance, if the sample follows genetics theory
![Children
Red-green
colourblind
35
Normal vision,
105
noncarrier
Normal vision,
60
carrier](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4d3de8d-b8b6-4f40-9e1a-cf43c279be2d%2Fd9b1cf60-c0e9-4a60-a342-342b3cdacbd5%2Fv31dk6u_processed.png&w=3840&q=75)
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