Part 7: Inference for Proportions

Covers: Topics 6.1 - 6.11 of the Course & Exam Description (CED)

Stats Content (CED Topics 6.1-6.3)

  • Point Estimates & Margins of Error

  • Interpreting a Confidence Interval

  • Interpreting a Confidence Level

Relevant Context

  • Political Polling

  • Polling Errors

Note: This lesson follows the inference trifecta approach, rather than our standard lesson format. Watch the brief Teacher Guide video on the lesson page for instructions.

Stats Content (CED Topics 6.2-6.3)

  • 95% Interval for One Proportion

  • Four Step Process for Inference

Relevant Context

  • Flint Water Crisis

  • Environmental Science

  • Chemical Engineering

Note: This lesson follows the inference trifecta approach, rather than our standard lesson format. Watch the brief Teacher Guide video on the lesson page for instructions.

Stats Content (CED Topics 6.2-6.3)

  • Critical Values

  • Sample Size Calculations

Relevant Context

  • Flint Water Crisis

  • Environmental Science

  • Chemical Engineering

Stats Content (CED Topics 6.4-6.6)

  • Constructing Hypotheses

  • Logic of Hypothesis Tests

  • p-values, Alpha Levels, Conclusions

Relevant Context

  • Basketball

  • Was there a “home court” advantage in the NBA Bubble?

Note: This two-day lesson follows the inference trifecta approach, rather than our standard lesson format. Watch the brief Teacher Guide video on the lesson page for instructions.

Stats Content (CED Topics 6.4-6.6)

  • One-Sample Z-Test for a Proportion

  • Four Step Procedure for Inference

  • One vs. Two-Sided Tests

Relevant Context

  • Basketball

  • Was there a “home court” advantage in the NBA Bubble?

Stats Content (CED Topic 6.7)

  • Bad Study Design vs. Error

  • Type I/II Errors & Power

  • Problem of Multiple Tests

Relevant Context

  • Vaccines & Autism

  • Study Design

  • Testing New Medicine

Stats Content (CED Topic 6.8-6.9)

  • One vs. Two Sample Inference

  • Two-Sample Z-Interval for Proportions

  • Statistically vs. Practically Significant

Relevant Context

  • Race & Job Hiring

  • Discrimination

Stats Content (CED Topic 6.10-6.11)

  • Two-Sample Z-Test for Proportions

  • Connection to Intervals

  • Generalizing Study Results

Relevant Context

  • Race & Job Hiring

  • Discrimination

 
Previous

Part 6: Sampling Distributions
Next

Part 8: Inference for Means