Respuesta :
According to the given statement the chi-square value in the test of this hypothesis is 10.111.
The correct option is C.
What is chi-square value?
The chi-square statistic contrasts the actual values with what was anticipated. The discrepancy between the values observed and expected is tested using this test statistic to see if it is statistically significant.
According to the given data:
Tall and purple flower observed valve = 860
Dwarf and purple flower observed valve = 285
Tall and pink flower observed valve = 340
Dwarf and pink flower observed valve = 115
Total no. of flower = 860 + 285 + 340 + 115
= 1600
The ratio given is 9: 3: 3: 1
Expected no. for Tall and purple = 100(9/16) = 900
Expected no. for Dwarf and purple = 1600(3/16) = 300
Expected no. for Tall and pink = 1600(3/16) = 300
Expected no. for Dwarf and pink = 1600(1/16) = 100
chi-square value = ∑ (objered value - expected value)² /Expected value
= [tex]\begin{aligned}\frac{(860-900)^2}{900}+\frac{(285-300)^2}{300}+\frac{(340-300)^2}{300} +\frac{(115-100)^2}{100}\end{aligned}[/tex]
= 1.778 + 0.75 + 5.333 + 2.25
= 10.111
The value is 10.111
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I understand that the question you are looking for is:
A dihybrid plant was crossed; the F2 generation consisted of: 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants. The data remind you of a 9:3:3:1 ratio. What is the chi-square value in the test of this hypothesis?
a. 0.377;
b. 7.5;
c. 10.11;
d. 11.08;
e. 15.78
