The discrete random variable X∼Bin(30,0.58)X\sim\operatorname{Bin}(30,0.58)X∼Bin(30,0.58).
Find P(X≥12)P(X\geq12)P(X≥12).
A café expects 30% of breakfast customers to order coffee. On one day, 19 of a random sample of 40 breakfast customers order coffee. Test at the 1% level of significance whether the population proportion ordering coffee has increased. State your hypotheses clearly.
State the conclusion that would be reached at the 5% level of significance.
209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.