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One-tailed test in AP Statistics

A one-tailed test is a statistical hypothesis test that assesses the direction of a relationship or effect, determining whether a population parameter is greater than or less than a certain value.

This definition is part of Fiveable's AP Statistics review, which also has guided practice questions.

Verified for the 2027 AP Statistics exam•Last updated August 2026•Fiveable Content Team

What is One-tailed test?

A one-tailed test is a statistical hypothesis test that assesses the direction of a relationship or effect, determining whether a population parameter is greater than or less than a certain value.

In AP Statistics, this term belongs to 3.5 Setting Up a Test for a Population Proportion and 4.4 Setting Up a Test for a Population Mean or Population Mean Difference. Use the notation and conditions attached to the procedure or model, then interpret the result in context.

Why One-tailed test matters in AP® Statistics

one-tailed test supports Unit 3: Inference for Categorical Data: Proportions and Unit 4: Inference for Quantitative Data: Means. The relevant CED learning objectives cover justify the appropriateness of a hypothesis test for a population proportion by verifying conditions; identify the null and alternative hypotheses for a population proportion.

How One-tailed test connects across the course

3.5 Setting Up a Test for a Population Proportion

one-tailed test is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

4.4 Setting Up a Test for a Population Mean or Population Mean Difference

one-tailed test is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

Is One-tailed test on the AP® Statistics exam?

An AP question can ask you to select, check, calculate, and interpret an inference procedure for proportions or categorical data; or select, check, calculate, and interpret a t-procedure for means. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Key things to remember about One-tailed test

  • A one-tailed test is a statistical hypothesis test that assesses the direction of a relationship or effect, determining whether a population parameter is greater than or less than a certain value.

  • one-tailed test is mapped to 3.5 Setting Up a Test for a Population Proportion and 4.4 Setting Up a Test for a Population Mean or Population Mean Difference in the current AP Statistics course.

  • On an AP question, use one-tailed test as part of a complete calculation or interpretation, not as an isolated label.

Frequently asked questions about One-tailed test

What is one-tailed test in AP Statistics?

A one-tailed test is a statistical hypothesis test that assesses the direction of a relationship or effect, determining whether a population parameter is greater than or less than a certain value.

Which AP Stats unit covers one-tailed test?

one-tailed test appears in Unit 3: Inference for Categorical Data: Proportions and Unit 4: Inference for Quantitative Data: Means, especially 3.5 Setting Up a Test for a Population Proportion and 4.4 Setting Up a Test for a Population Mean or Population Mean Difference.

How does one-tailed test appear on the AP exam?

An AP question can ask you to select, check, calculate, and interpret an inference procedure for proportions or categorical data; or select, check, calculate, and interpret a t-procedure for means. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Is one-tailed test only a vocabulary term?

No. Be ready to use it in a calculation, identify it in a setup, or interpret what it means in context.