If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.
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Answer:
The food preferences among vole species are independent of one another.
Step-by-step explanation:
The hypothesis can be defined as follows:
<em>H</em>₀: The food preferences among vole species are independent of one another.
<em>Hₐ</em>: There is a relationship between voles and food preference.
The data provided is:
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
A Chi-square test for the Goodness of fit will be used.
The expected values are computed using the formula:
Consider the Excel sheet attached.
The Chi-square statistic value is 2.861.
Compute the degrees of freedom as follows:
df = (r - 1)(c - 1)
= (2 - 1)(2 - 1)
= 1
Compute the <em>p</em>-value as follows:
The <em>p</em>-value = 0.091 > <em>α </em>= 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that the food preferences among vole species are independent of one another.
