Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
A ball is tossed in a game and ends up in one of 4 slots, called $A$, $B$, $C$ and $D$. Raju wants to check whether the chance of the ball landing in slot $A$ is $\frac{1}{4}$.
(a)[1]
State an appropriate null hypothesis and alternative hypothesis for Raju’s test.
(b)[5]
The ball is tossed 100 times and it lands in slot $A$ 15 times. Use an appropriate approximating distribution to carry out the test at the $2\%$ significance level.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$H_0: p=\frac14$ and $H_1: p\neq \frac14$ (or equivalent hypotheses such as $\mu=25$ and $\mu\neq25$)” …