Unit 3
Inference for Categorical Data: Proportions
Inference begins here, with proportions. Every interval and test in the course follows the pattern you learn in this unit.
Topics
- 3.1Estimators
- 3.2Sampling Distributions for Sample Proportions
- 3.3Constructing a Confidence Interval for a Population Proportion
- 3.4Justifying a Claim Based on a Confidence Interval for a Population Proportion
- 3.5Setting Up a Test for a Population Proportion
- 3.6p-Values
- 3.7Carrying Out a Test for a Population Proportion
- 3.8Potential Errors When Performing Tests
- 3.9Sampling Distributions for the Difference Between Sample Proportions
- 3.10Constructing a Confidence Interval for the Difference Between Two Population Proportions
- 3.11Justifying a Claim Based on a Confidence Interval for the Difference Between Two Population Proportions
- 3.12Setting Up a Test for the Difference Between Two Population Proportions
- 3.13Carrying Out a Test for the Difference Between Two Population Proportions
- 3.14Setting Up a Chi-Square Test for Homogeneity or Independence
- 3.15Carrying Out a Chi-Square Test for Homogeneity or Independence
Labs for this unit
- Topics 2.12 to 4.1 Sampling Distribution Machine Draw thousands of samples from a skewed population and watch the distribution of sample means turn normal.
- Topics 3.3 to 4.8 Confidence Interval Capture Build a hundred confidence intervals and count how many catch the true value. That count is what confidence means.
- Topics 3.5 to 3.8 Is This Coin Fair? A mystery coin might be fair or might be rigged. Flip it, run the test, decide, and find out if you made an error.