A-level · Hypothesis testing

Setting up a hypothesis testExam-style questions

The language and structure of a binomial hypothesis test: the population proportion p, the null hypothesis H0 : p = p0 and the alternative hypothesis H1, deciding between a one-tailed (p < p0 or p > p0) and a two-tailed (p ≠ p0) test from the wording, the test statistic X ~ B(n, p0) under H0, and what the significance level means.

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9 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    The makers of a hay-fever tablet state that 80% of people who take the tablet get relief from their symptoms within one hour. A pharmacist thinks that the makers have overstated this figure. She asks a random sample of 30 of her customers who have taken the tablet, and 20 of them say that they got relief from their symptoms within one hour.

    Test, at the 5% significance level, whether these results provide evidence that the makers have overstated the proportion.

    (7 marks)
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