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Success/failure condition in AP Statistics

The success/failure condition checks whether the expected numbers of successes and failures are both large enough for a normal approximation in proportion inference.

Verified for the 2027 AP Statistics examLast updated August 2026

What is the success/failure condition?

The success/failure condition checks whether the expected numbers of successes and failures are both large enough for a normal approximation in proportion inference.

In AP Statistics, this term belongs to 3.5 Setting Up a Test for a Population Proportion and 3.12 Setting Up a Test for the Difference Between Two Population Proportions. Use the notation and conditions attached to the procedure or model, then interpret the result in context.

Why the success/failure condition matters in AP® Statistics

success/failure condition supports Unit 3: Inference for Categorical Data: Proportions. 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 the success/failure condition connects across the course

3.5 Setting Up a Test for a Population Proportion

success/failure condition is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

3.12 Setting Up a Test for the Difference Between Two Population Proportions

success/failure condition is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

Is the success/failure condition 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. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Key things to remember about the success/failure condition

  • The success/failure condition checks whether the expected numbers of successes and failures are both large enough for a normal approximation in proportion inference.

  • success/failure condition is mapped to 3.5 Setting Up a Test for a Population Proportion and 3.12 Setting Up a Test for the Difference Between Two Population Proportions in the current AP Statistics course.

  • On an AP question, use success/failure condition as part of a complete calculation or interpretation, not as an isolated label.

Frequently asked questions about the success/failure condition

What is success/failure condition in AP Statistics?

The success/failure condition checks whether the expected numbers of successes and failures are both large enough for a normal approximation in proportion inference.

Which AP Stats unit covers success/failure condition?

success/failure condition appears in Unit 3: Inference for Categorical Data: Proportions, especially 3.5 Setting Up a Test for a Population Proportion and 3.12 Setting Up a Test for the Difference Between Two Population Proportions.

How does success/failure condition 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. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Is success/failure condition 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.