Answer
$P$-value $\gt α$: null hypotheses is not rejected.
There is not significant evidence to conclude that the experimental course was effective.
Work Step by Step
$H_0:~p=0.5$ versus $H_1:~p\gt0.5$
$np(1-p)=16\times0.5(1-0.5)=4\lt10$
Test hypotheses with a small sample size:
$P$-value $=P(X\geq11)=1-P(X\lt11)=1-P(X\leq10)$
In order to find $P(X\leq10)$ use Excel: "=BINOMDIST(10;16;0.5;TRUE)"
$P$-value $=1-P(X\leq10)=1-0.8949=0.1051$
Since $P$-value $\gt α$, we do not reject the null hypotheses.
