Answer:
The data are not consistent with law of equal segregation.
Explanation:
According to law of segregation, the ratio of yellow peas to green peas at F2 should be 3:1.
yellow green
Observed frequencies 5920 2103
Expected frequency [tex]\frac{3}{4}*8023[/tex] = 6017.25 [tex]\frac{1}{4} * 8023[/tex] = 2005.75
Using Chi square([tex]X^2[/tex]):
[tex]X^2[/tex] yellow = [tex]\frac{(observed frequency - expected frequency)^2}{expected frequency}[/tex]
= [tex]\frac{(5920 - 6017.25)^2}{6017.25}[/tex]
= 1.57
[tex]X^2[/tex] green = [tex]\frac{(2103 - 2005.75 )^2}{2005.75 }[/tex]
= 4.72
[tex]X^2[/tex] total = 1.57 + 4.72 = 6.29
Degree of freedom = 2 - 1 = 1
[tex]X^2[/tex] tabulated (α = 0.05) = 3.841
The calculated Chi square value is more than the tabulated Chi square value, hence, the conclusion is that the data are not consistent with law of segregation.
