(a)[1]
State suitable null and alternative hypotheses for the test.
(b)[3]
Find the probability of a Type I error.
(c)[2]
In fact 2 of the 25 apples were Grade A. Which of the errors, Type I or Type II, is possible? Justify your answer.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
A shop sources apples from one particular farm. It has been established that $5\%$ of the apples from this farm are Grade A. After the growing conditions at the farm were altered, the shop management intend to run a hypothesis test to determine whether the proportion of Grade A apples has risen. They choose 25 apples at random. If the number of Grade A apples is greater than 3 they will decide that the proportion has risen.