The discrete random variable X∼Bin(20,0.41)X\sim\operatorname{Bin}(20,0.41)X∼Bin(20,0.41).
Find P(3<X≤7)P(3<X\leq7)P(3<X≤7).
Previous research by a restaurant found that 30% of customers order a starter. On one day, 7 of a random sample of 40 customers order a starter. Test at the 5% level of significance whether the population proportion ordering a starter has decreased. State your hypotheses clearly.
State the conclusion that would be reached at the 10% 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.