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Sagot :
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. This number was included in the explanation of the problem.
Answer:
The chi-square value is X² = 2.6813.
Explanation:
Available information:
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
Among the (observed-anticipated)² list, there's one price missing. This price corresponds to spherical yellow-grey plants and equals 0.002. This variety became protected withinside the clarification of the problem.
The chi-square value is [tex]X^ 2 =2.6813.[/tex]
Information given.
Observed people numbers:
Total variety withinside the population: [tex]639[/tex]
Round yellow grey [tex]269[/tex]
spherical yellow-white 98
spherical inexperienced, grey 86
wrinkled yellow grey 88
spherical inexperienced white 27
wrinkled inexperienced grey 30
wrinkled inexperienced white 7
wrinkled yellow white 34
The anticipated numbers
ratio 27:9:9:9:3:3:3:1
spherical yellow grey 269.58
spherical yellow white 89.86
spherical inexperienced grey 89.86
wrinkled yellow grey 89.86
spherical inexperienced white 29.9!
wrinkled yellow white 29.95
wrinkled inexperienced grey 29.95
wrinkled inexperienced white 9.98
The (observed-anticipated) 2 numbers
spherical yellow grey 0.002
spherical yellow white 65.61
spherical inexperienced grey 15.2
wrinkled yellow grey 3.61 spherical inexperienced white 8.41
wrinkled yellow white 16.81
wrinkled inexperienced grey 0.01
wrinkled inexperienced white 9.00
To get the chi-square value, we simply want to update the phrases withinside the following equation.
[tex]Chi square = Sigma((O - E) ^ 2 / E)[/tex]
Where,
[tex]Σ[/tex] is the sum of the phrases
O refers back to the Observed variety of individual
E refers back to the Expected numbers of people
[tex]X ^ 2 = Sigma((O - E) ^ 2 / E)[/tex]
[tex]X^ 2 =(0.002/269.58)+(65.61/89.86)+ Chi quare = Sigma((O - E) ^ 2 / E)[/tex]
Where,
Σ is the sum of the phrases
O refers back to the Observed variety of individual
E refers back to the Expected numbers of people
[tex]X ^ 2 = Sigma((O - E) ^ 2 / E)[/tex]
[tex]X^ 2 =(0.002 / 9.58)+(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)[/tex]
[tex]X^ 2 =0.0000074+0.73+0.17+0.04+ 0.28 + 0.561 + 0.0003 + 0.9[/tex]
[tex]X ^ 2 = 2.6813[/tex]
What is chi-square?
Pearson's chi-square test is utilized to inspect the job of chance in creating deviations among noticed and anticipated values. The test relies upon extraneous speculation since it requires hypothetical anticipated that values should be determined.
Hence it clearly calculates the value of chi-square.
To know more about chi-square refer to the link :
https://brainly.com/question/15232994
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