MktPraxis
Interactive Textbook Module Syllabus

One-Sample Estimation & Hypothesis Testing

Bridge the gap from sample metrics to population truth. Master Central Limit Theorem mechanics, frequentist confidence intervals, one-sample z and t tests, and effect sizes — while diagnosing why Big Data collapses p-values into statistical illusions.

⏱️ ~22 min reading & interactives 📑 10 sections 🎓 Level: Core undergraduate 📐 Math: Formulas shown 📚 Courses: Intro Business Statistics, Marketing Research Methods, Marketing Analytics 🏷️ Topics: Statistical testing
Full Interactive Chapter (Account Required) The complete chapter reading, embedded live mini-widgets, inline Check-Your-Understanding questions, and progress tracking are available to enrolled students and verified instructors.
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Chapter Section Outline (10 Sections)

Topics and managerial frameworks covered in One-Sample Estimation & Hypothesis Testing:

  1. 1. Point Estimates vs Interval Estimates
  2. 2. Sampling Distributions and the Central Limit Theorem
  3. 3. Confidence Intervals: Quantifying Uncertainty
  4. 4. Guided Practice: The Confidence Interval Simulator
  5. 5. The Logic of Hypothesis Testing
  6. 6. Type I and Type II Errors: The Decision Matrix
  7. 7. Flagship Marketing Case: Aura Athletics DTC Ad Conversion Benchmark
  8. 8. Effect Size vs Statistical Significance: The Big Data Trap
  9. 9. Guided Practice: The One-Sample Testing Lab
  10. 10. Auditing the AI Analyst: Catching the p-Value Illusion

Interactive Concept Mini-Widgets Embedded in This Chapter (2)

Students manipulate these interactive visual simulations directly inside the chapter reading before answering gated check-in questions:

Watch the Central Limit Theorem Tame Skewed Populations

Draw repeated samples from a skewed population and watch the sampling distribution take shape, turning the Central Limit Theorem from an abstraction into something students can see happen.

Explore the Tradeoff Between Confidence, Sample Size, and Width

Drag the sample size and confidence level and watch the interval widen or tighten, then follow the same formula into the practical question of how many people to survey.

Paired Browser-Based Analytics Calculators (3)

This chapter connects directly to these full MktPraxis analytical apps (with pre-loaded business case scenarios, CSV upload, and reproducible Python export):

🎯 One-Sample Hypothesis Test

Test whether a single sample mean or conversion rate meets a business standard, target SLA, or industry benchmark.

Pre-loaded Business Scenarios: Aura Athletics DTC Ad Conversion Benchmark · SaaS Enterprise Customer Acquisition Cost (CAC) Audit · Metro Delivery Speed Guarantee Audit · Merchant Dispute Rate Regulatory Compliance

🎯 Confidence Interval Simulator

Draw repeated samples from known populations to see how often confidence intervals actually capture the true parameter.

📏 Sample Size Calculator (Single)

Plan n for one mean or proportion.