What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.6.5.1Hypothesis tests• understand the nature of a hypothesis test, the difference between one-tailed and two-tailed tests, and the terms null hypothesis, alternative hypothesis, significance level, rejection region (or critical region), acceptance region and test statistic Outcomes of hypothesis tests are expected to be interpreted in terms of the contexts in which questions are set.Syllabus objective6.5.2Normal approximation• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using - direct evaluation of probabilities - a normal approximation to the binomial or the Poisson distribution, where appropriateSyllabus objective6.5.3Hypothesis tests• formulate hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is usedSyllabus objective6.5.4Hypothesis tests• understand the terms Type I error and Type II error in relation to hypothesis testsSyllabus objective6.5.5Normal distribution• calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities.Syllabus objective