The discrete random variable X∼B(30,0.58)X \sim B(30, 0.58)X∼B(30,0.58)
Find P(X≥12)P(X \geq 12)P(X≥12)
A cafe expects 30% of customers to order a coffee with their breakfast. On one particular day a random sample of 40 customers that ordered breakfast is taken and 19 of them ordered a coffee. Test at the 1% significance level whether the proportion of customers ordering a coffee had increased. State your hypotheses clearly.
State the conclusion you would have reached if a 5% significance level had been used for this test.
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.