Question

What if there were 2000 seeds and 1100 produced white-fruited plants & 900 yellow-fruited? Are these results statistically significant? Explain using Chi-square analysis

Answer 1

To determine if the results are statistically significant, we need to perform a Chi-square analysis by comparing the observed phenotypic ratios with the expected ratios. If the calculated Chi-square value is greater than the critical Chi-square value, then the results are statistically significant, indicating a significant deviation from the expected ratios.

Step-by-step explanation:

In order to determine if the results are statistically significant, we need to perform a Chi-square analysis. First, we need to calculate the expected values for each phenotype in a 9:3:3:1 ratio. The expected values would be 9/16 for white-fruited, 3/16 for yellow-fruited, 3/16 for green-fruited, and 1/16 for blue-fruited plants. Next, we calculate the Chi-square value by using the formula: Σ((Observed Value - Expected Value)^2 / Expected Value). Finally, we compare the calculated Chi-square value with the critical Chi-square value at a certain level of significance.

If the calculated Chi-square value is greater than the critical Chi-square value, then the results are statistically significant, indicating that the observed phenotypic ratios deviate significantly from the expected ratios. If the calculated Chi-square value is less than the critical Chi-square value, then the results are not statistically significant, indicating that the observed phenotypic ratios are close to the expected ratios. By performing this analysis, we can determine if the results of the experiment are statistically significant or not.

Answer 2

To explain this we need to say the following:
As explained above, white plants are Heterozygous and the out come is around 50/50. What this indicates is that yellow fruited plants are most likely homozygous recessive to give you the almost 50/50 outcome.
The following Chi-square can demonstrate that
---------------White
---------------W w
Yellow w Ww ww
---------- w Ww ww