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 the difference between a point estimate and an interval estimate. (Guide: “From one number to a range of values”)
- I can explain what the standard error of p̂ measures and why it uses p̂ instead of p. (Guide: “Step 4”)
- I can explain why the margin of error is half the width of the interval. (Guide: Figure 2; Practice Q3)
- I can explain why p̂ = 0.5 gives the largest sample size needed. (Guide: Worked example 3; Practice Q6)
Skills
- I can name the one-sample z-interval for a population proportion and define p with the proportion, the response and the population. (Guide: “Step 1”; Practice Q5)
- I can check the random, 10% and large-counts conditions in context, with numbers. (Guide: “Step 2”; Practice Q2, Q5)
- I can find z* for any confidence level using the area (1 + C)/2. (Guide: “Step 3”; Practice Q1)
- I can calculate the standard error, the margin of error and the interval, keeping p̂ unrounded. (Guide: Worked examples 1 and 2; Practice Q4)
- I can find p̂ and the margin of error from a reported interval. (Guide: “Working backwards”; Practice Q3)
- I can find the smallest sample size for a chosen margin of error and round it up. (Guide: Worked example 3; Practice Q6)
Reasoning
- I can decide when a z-interval should not be used because a condition fails, and say which one. (Guide: Worked example 2; Practice Q2)
- I can find and correct errors in someone else’s interval, including the parameter, the conditions and z*. (Practice Q7)
All ticked? Move on to Topic 3.4, Justifying a Claim Based on a Confidence Interval for a Population Proportion, or return to the course roadmap.