Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can explain why the standard error in a test uses p₀ and not p̂. (Guide: “The test statistic”; Practice Q1)
- I can explain what the null distribution is and why the standard normal curve can model it when the conditions are met. (Guide: “The test statistic”)
- I can explain the significance level α as the probability, chosen in advance, of rejecting H₀ when H₀ is true. (Guide: “Significance level and the decision”; Practice Q7)
- I can explain why failing to reject H₀ is not evidence that H₀ is true. (Guide: Worked example 2; Practice Q3)
Calculation
- I can calculate p̂ and the z test statistic, with the formula and numbers shown. (Guide: Worked example 1; Practice Q1, Q4)
- I can find the p-value for a right-tailed, left-tailed or two-sided alternative, with a table or technology. (Guide: “Finding the p-value”; Practice Q2)
- I can find the correct p-value even when p̂ is on the opposite side of p₀ from Hₐ. (Practice Q6)
Reasoning
- I can make a decision by comparing the p-value with α, quoting both numbers. (Guide: “Writing the conclusion”; Practice Q4)
- I can write a conclusion in context, about the true population proportion, in terms of Hₐ, with non-definitive language. (Guide: both worked examples; Practice Q3, Q5)
- I can use the result of a test to answer the investigative question that started the study. (Guide: Worked example 1; Practice Q5, Q7)
- I can explain why α and Hₐ must be chosen before looking at the data. (Practice Q4(d), Q6(c))
- I can carry out all four parts of a test (hypotheses, method and conditions, calculations, conclusion) without prompts. (Practice Q5)
All ticked? Move on to Topic 3.8, Potential Errors When Performing Tests, or return to the course roadmap.