(a)[2]
Find the probability of a Type I error using a binomial distribution.
(b)[3]
With the probability of a Type II error equal to $0.8926$, determine $p$.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
If a child finishes an online exercise known as a Mathlit, a medal may be given. The publishers state that the chance that a child chosen at random who finishes a Mathlit is awarded a medal is $\frac{1}{3}$. Asha wants to test this statement. She says that if she receives no medals after completing $10$ Mathlits, she will decide that the true probability is below $\frac{1}{3}$. Let the true probability of being awarded a medal be $p$.