Question

Gray seed color in peas is dominant to white. Assume that Mendel conducted a series of experiments where a plant with gray seeds were crossed with another plant with white seeds and the following progeny were produced: 95 gray and 105 white. Assume that the cross above you were interested in determining whether seed color follows a 1:1 ratio. What is the Chi-square value for these data?

Answer 1

The Chi-square value for the given data is 0.5.

Step-by-step explanation:

To determine the Chi-square value for the given data, we need to compare the observed data with the expected data based on the Mendelian 1:1 ratio. In this case, the expected ratio is 50% gray and 50% white. To calculate the expected values, we multiply the total progeny (200) by the expected percentages: 50% for gray (0.5 x 200 = 100) and 50% for white (0.5 x 200 = 100).

To calculate the Chi-square value, we use the formula: χ² = Σ (observed - expected)² / expected. Substituting the values, we get χ² = [(95 - 100)² / 100] + [(105 - 100)² / 100] = 0.25 + 0.25 = 0.5.

Therefore, the Chi-square value for these data is 0.5.