Respuesta :
Answer:
See the answer below
Explanation:
The correct statistical approach to test if the data is consistent with the expected 3:1 ratio would be the Chi square.
Chi-square = [tex]\frac{(O - E)^2}{E}[/tex] where O = observed frequency and E = Expected frequency. In this case:
Phenotype O E Chi square
- Blacks 350 3/4 x 500 = 375 [tex]\frac{(350-375)^2}{375}[/tex] = 1.67
- Non blacks 150 1/4 x 500 = 125 [tex]\frac{(150-125)^2}{125}[/tex] = 5
Total Chi square = 1.67 + 5 = 6.67
Degree of freedom = 1
Tabulated Chi square = 3.841
Since the calculated Chi-square is more than the tabulated value, the null hypothesis is rejected and we conclude that the data is not consistent with the expected 3:1 ratio.