Chapter 14.2, Problem 1Q

Recall the data in Question 8.2.9 giving the sizes of ten gorilla groups studied in the Congo. Is it believable that the true median size, $\overline{\text{μ}}$ of all such groups is 9? Answer the question by finding the P-value associated with the null hypothesis $H_0:\overline{\text{μ}}=9.$ Assume that $H_1$ is two-sided. (Note: Tabulated below is the binomial pdf for the case where $n=10$ and $p=\frac{1}{2}$)

Probability Density Function

Binomial with $n=10\text{ and }p=0.5$

$\text{x P}\left(\text{X}=\text{x}\right)$

0	0.000977
1	0.009766
2	0.043945
3	0.117188
4	0.205078
5	0.246094
6	0.205078
7	0.117188
8	0.043945
9	0.009766
10	0.000977