The discrete random variable X∼B(20,0.41)X \sim B(20, 0.41)X∼B(20,0.41)
Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)
Previous research by a restaurant found that 30% of customers will order a starter.
On one day a random sample of 40 customers is taken and 7 order a starter.
Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.
State the conclusion you would have reached if you tested at the 10% significance level.
162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.