Learning outcomes Notes Notation Exclusions Ref. Specification STATISTICS: STATISTICAL HYPOTHESIS TESTING (1) Be able to identify null and alternative hypotheses (H0 H0 of form p = a particular value, with p H0, H1 Hypothesis H4 and H1) when setting up a hypothesis test based on a testing for a a probability for the whole population. binomial probability model. binomial probability p Be able to conduct a hypothesis test at a given level of Normal H5 significance. Be able to draw a correct conclusion from approximation. the results of a hypothesis test based on a binomial probability model and interpret the results in context. Be able to identify the critical and acceptance regions. H6 STATISTICS: STATISTICAL HYPOTHESIS TESTING (2) Know that random samples of size from have the Sample mean, Central Limit n Hypothesis MH7 sample mean Normally distributed with mean and Theorem testing for a Particular value of variance . mean using sample mean, Normal Population mean, distribution Be able to carry out a hypothesis test for a single mean H8 In situations where either using the Normal distribution and be able to interpret (a) the population variance is known the results in context. or (b) the population variance is unknown but the sample size is large Learners may be asked to use a or a critical region. pvalue H0 of form µ = a particular value, where is the population mean. µ Significance level will be given. Be able to identify the critical and acceptance regions. H9
Specification Ref. Learning outcomes Notes Notation Exclusions STATISTICS: STATISTICAL HYPOTHESIS TESTING (1) Hypothesis testing for a binomial probability p H4 Be able to identify null and alternative hypotheses (H0 and H1) when setting up a hypothesis test based on a binomial probability model. H0 of form p = a particular value, with p a probability for the whole population. H0, H1 H5 Be able to conduct a hypothesis test at a given level of significance. Be able to draw a correct conclusion from the results of a hypothesis test based on a binomial probability model and interpret the results in context. Normal approximation. H6 Be able to identify the critical and acceptance regions. STATISTICS: STATISTICAL HYPOTHESIS TESTING (2) Hypothesis testing for a mean using Normal distribution MH7 Know that random samples of size n from have the sample mean Normally distributed with mean and variance . Sample mean, Particular value of sample mean, Population mean, Central Limit Theorem H8 Be able to carry out a hypothesis test for a single mean using the Normal distribution and be able to interpret the results in context. In situations where either (a) the population variance is known or (b) the population variance is unknown but the sample size is large Learners may be asked to use a pvalue or a critical region. H0 of form µ = a particular value, where µ is the population mean. Significance level will be given. H9 Be able to identify the critical and acceptance regions.
419454-statistics-statistical-hypothesis-testing-delivery-guide.docx