Note about the question:
Among the (observed-expected)² list, there is one value missing. This value corresponds to round yellow gray plants, and equals 0.002. <em>This number was included in the explanation of the problem. </em>
Answer:
The chi-square value is X² = 2.6813.
Explanation:
<u>Available information: </u>
Observed individuals numbers:
- Total number in the population: 639
- Round yellow gray 269
- round yellow-white 98
- round green, gray 86
- wrinkled yellow gray 88
- round green white 27
- wrinkled yellow white 34
- wrinkled green gray 30
- wrinkled green white 7
The expected numbers
- ratio 27:9:9:9:3:3:3:1
- round yellow gray 269.58
-
round yellow white 89.86
-
round green gray 89.86
-
wrinkled yellow gray 89.86
-
round green white 29.95
-
wrinkled yellow white 29.95
-
wrinkled green gray 29.95
-
wrinkled green white 9.98
The (observed-expected) ² numbers
- round yellow gray 0.002
- round yellow white 65.61
- round green gray 15.2
- wrinkled yellow gray 3.61
- round green white 8.41
- wrinkled yellow white 16.81
- wrinkled green gray 0.01
- wrinkled green white 9.00
To get the chi-square value, we just need to replace the terms in the following equation.
Chi square= ∑ ((O-E)²/E)
Where,
- ∑ is the sum of the terms
- O refers to the Observed number of individual
- E refers to the Expected numbers of individuals
X² = ∑ ((O-E)²/E)
X² = (0.002/269.58) + (65.61/89.86) + (15.2/89.86) + (3.61/89.86) + (8.41/29.95) + (16.81/29.95) + (0.01/29.95) + (9/9.98)
X² = 0.0000074 + 0.73 + 0.17 + 0.04 + 0.28 + 0.561 + 0.0003 + 0.9
X² = 2.6813
