Chapter 11, Problem R11.1RE

To determine

To explain whether there is convincing evidence that the true distribution of offspring is different from what the biologists predict.

Answer to Problem R11.1RE

There is not convincing evidence that the true distribution of offspring is different from what the biologists predict.

Explanation of Solution

Given:

Offspring	Observed	Frequency
Green	23	0.25
Yellow-green	50	0.5
Albino	11	0.25
Total	84	1

Calculation:

The null and alternative hypotheses:

  $\begin{array}{l}{H}_0:p_1=0.25,p_2=0.50,p_3=0.25\\ H_a:Atleastone{p}_i’sdifferent.\end{array}$

Using, excel, this chi-square test for goodness of fit is,

  

Decision: P-value = 0.0392 > 0.01, fail to reject H₀.

Conclusion: There is not convincing evidence that the true distribution of offspring is different from what the biologists predict.