Hypothesis tests
Hypothesis tests — Cambridge International AS & A Level Mathematics (9709), Probability & Statistics 2 (6.5).
Hypothesis Testing: Concepts and the Binomial TestSign up
understand the language of hypothesis testing: null hypothesis, alternative hypothesis, test statistic, significance level, critical region, p-value, and one- and two-tailed tests · be able to carry out a hypothesis test for the parameter p of a binomial distribution, identify the critical region and state conclusions in context
Hypothesis Test for a Poisson DistributionSign up
be able to carry out a hypothesis test for the parameter λ of a Poisson distribution, identify the critical region and state conclusions in context
Hypothesis Test for a Population MeanSign up
be able to carry out hypothesis tests for the mean of a normal distribution and for the difference between two means using independent samples, applying both z- and t-tests where appropriate
Type I and Type II ErrorsSign up
understand Type I and Type II errors in hypothesis tests · calculate P(Type I error) in normal/binomial/Poisson tests by direct evaluation or standard normal · calculate P(Type II error) for a specified alternative value in the same contexts · interpret Type I and Type II error probabilities in context
