(a)[5]
Carry out the test using the binomial distribution at the $10\%$ significance level.
(b)[1]
Using the fact that there are $30$ employees at the factory, comment on how suitable the owner’s model is.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
A factory owner represents the daily number of workers who eat in the factory canteen using the distribution $B(25, p)$. Earlier, the value of $p$ was $0.8$. A new menu has been added in the canteen, and the owner wishes to test whether $p$ has risen. On one randomly selected day, he records that $23$ employees use the canteen.