University of Colorado Boulder

BiteSize Stats: Hypothesis Testing for Single Samples

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University of Colorado Boulder

BiteSize Stats: Hypothesis Testing for Single Samples

Di Wu

Instructor: Di Wu

Included with Coursera PlusLearn more

Gain insight into a topic and learn the fundamentals.
8 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
8 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

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Recently updated!

August 2026

Assessments

5 assignments

Taught in English

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This course is part of the BiteSize Statistics for Intermediate Learners Specialization
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There are 5 modules in this course

Introduces hypothesis testing as a structured procedure for evaluating a claim using sample evidence, framed through the court-of-law analogy and the five-step testing procedure. Students write null and alternative hypotheses correctly, distinguish Type I from Type II errors, define and interpret the p-value, and apply the decision rule while distinguishing statistical from practical significance.

What's included

28 readings1 assignment7 ungraded labs

Covers the one-sample Z-test for a mean and for a proportion, including the required conditions and the five-step testing procedure with a known population standard deviation. Students then construct confidence intervals and learn the duality between a two-tailed Z-test and a confidence interval, applying both to a website click-through-rate case study and a self-selected business claim.

What's included

17 readings1 assignment5 ungraded labs

Introduces the Student t-distribution and why it replaces the Z-distribution when the population standard deviation is unknown, then the one-sample t-test and t-based confidence intervals. Students apply the CI-test duality and compare t- and Z-based intervals, closing with delivery-time benchmarking case studies at two sample sizes.

What's included

17 readings1 assignment5 ungraded labs

Introduces the chi-square distribution and its relationship to the standard normal, then the goodness-of-fit test for comparing observed frequencies to a claimed distribution. Students calculate expected frequencies and the chi-square statistic, apply the full five-step testing procedure, and use per-cell contributions to identify which categories deviate most from expectations.

What's included

17 readings1 assignment5 ungraded labs

Defines statistical power and the factors that determine it, then derives sample size formulas for means and proportions given a target margin of error or power. Students learn to interpret a non-significant result in light of power and apply sample size planning before data collection, closing with survey-design and power-comparison case studies.

What's included

17 readings1 assignment5 ungraded labs

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Instructor

Di Wu
University of Colorado Boulder
27 Courses65,208 learners

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