Main content

Unit: Inference for categorical data: Proportions

Not feeling ready for this? Check out Get ready for AP® Statistics.

0

Possible mastery points

About this unit

How many people do you have to poll to have a 90% confidence in the outcome of an upcoming election? This unit, which covers confidence intervals and significance tests for proportions of populations, will show you how to do just that.

Introduction to confidence intervals

AP Stats:

UNC (BI)

UNC‑4 (EU)

UNC‑4.A (LO)

UNC‑4.A.1 (EK)

UNC‑4.F (LO)

UNC‑4.F.1 (EK)

UNC‑4.F.2 (EK)

UNC‑4.F.3 (EK)

UNC‑4.F.4 (EK)

VAR (BI)

VAR‑1 (EU)

VAR‑1.H (LO)

VAR‑1.H.1 (EK)

Learn

Confidence intervals for proportions

AP Stats:

UNC (BI)

UNC‑4 (EU)

UNC‑4.A (LO)

UNC‑4.A.1 (EK)

UNC‑4.B (LO)

UNC‑4.B.1 (EK)

UNC‑4.B.2 (EK)

UNC‑4.C (LO)

UNC‑4.C.1 (EK)

UNC‑4.C.2 (EK)

UNC‑4.C.3 (EK)

UNC‑4.C.4 (EK)

UNC‑4.D (LO)

UNC‑4.D.1 (EK)

UNC‑4.D.2 (EK)

UNC‑4.F (LO)

UNC‑4.F.4 (EK)

UNC‑4.G (LO)

UNC‑4.G.1 (EK)

UNC‑4.H (LO)

UNC‑4.H.1 (EK)

UNC‑4.H.2 (EK)

Learn

Practice

Conditions for a z interval for a proportionGet 3 of 4 questions to level up!
Finding the critical value z* for a desired confidence levelGet 3 of 4 questions to level up!
Calculating a z interval for a proportionGet 3 of 4 questions to level up!
Sample size and margin of error in a z interval for pGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 320 Mastery points

The idea of significance tests

AP Stats:

DAT (BI)

DAT‑3 (EU)

DAT‑3.A (LO)

DAT‑3.A.1 (EK)

DAT‑3.B (LO)

DAT‑3.B.1 (EK)

DAT‑3.B.2 (EK)

DAT‑3.B.3 (EK)

DAT‑3.B.4 (EK)

DAT‑3.B.5 (EK)

DAT‑3.B.6 (EK)

DAT‑3.B.7 (EK)

DAT‑3.E (LO)

DAT‑3.E.1 (EK)

DAT‑3.F (LO)

DAT‑3.F.1 (EK)

DAT‑3.F.2 (EK)

VAR (BI)

VAR‑6 (EU)

VAR‑6.D (LO)

VAR‑6.D.1 (EK)

VAR‑6.D.2 (EK)

VAR‑6.D.3 (EK)

VAR‑6.D.4 (EK)

VAR‑6.D.5 (EK)

VAR‑6.G (LO)

VAR‑6.G.4 (EK)

VAR‑7 (EU)

VAR‑7.C (LO)

VAR‑7.C.1 (EK)

Learn

Practice

Writing null and alternative hypothesesGet 3 of 4 questions to level up!
Estimating P-values from simulationsGet 3 of 4 questions to level up!

Setting up a test for a population proportion

AP Stats:

DAT (BI)

DAT‑3 (EU)

DAT‑3.A (LO)

DAT‑3.A.1 (EK)

DAT‑3.A.2 (EK)

DAT‑3.B (LO)

DAT‑3.B.1 (EK)

DAT‑3.B.2 (EK)

DAT‑3.B.3 (EK)

DAT‑3.B.4 (EK)

DAT‑3.B.5 (EK)

DAT‑3.B.8 (EK)

DAT‑3.B.9 (EK)

VAR (BI)

VAR‑6 (EU)

VAR‑6.D (LO)

VAR‑6.D.1 (EK)

VAR‑6.D.2 (EK)

VAR‑6.D.3 (EK)

VAR‑6.D.4 (EK)

VAR‑6.D.5 (EK)

VAR‑6.E (LO)

VAR‑6.E.1 (EK)

VAR‑6.F (LO)

VAR‑6.F.1 (EK)

VAR‑6.G (LO)

VAR‑6.G.1 (EK)

VAR‑6.G.2 (EK)

VAR‑6.G.3 (EK)

VAR‑6.G.4 (EK)

Learn

Practice

Writing hypotheses for a test about a proportionGet 3 of 4 questions to level up!
Conditions for a z test about a proportionGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 320 Mastery points

Carrying out a test for a population proportion

Learn

Practice

Calculating the test statistic in a z test for a proportionGet 3 of 4 questions to level up!
Calculating the P-value in a z test for a proportionGet 3 of 4 questions to level up!

Concluding a test for a population proportion

Learn

Practice

Making conclusions in a z test for a proportionGet 3 of 4 questions to level up!

Potential errors when performing tests

AP Stats:

UNC (BI)

UNC‑5 (EU)

UNC‑5.A (LO)

UNC‑5.A.1 (EK)

UNC‑5.A.2 (EK)

UNC‑5.B (LO)

UNC‑5.B.1 (EK)

UNC‑5.B.2 (EK)

UNC‑5.B.3 (EK)

UNC‑5.C (LO)

UNC‑5.C.1 (EK)

UNC‑5.D (LO)

UNC‑5.D.1 (EK)

UNC‑5.D.2 (EK)

Learn

Practice

Type I vs Type II errorGet 3 of 4 questions to level up!
Error probabilities and powerGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 400 Mastery points

Confidence intervals for the difference of two proportions

AP Stats:

UNC (BI)

UNC‑4 (EU)

UNC‑4.I (LO)

UNC‑4.I.1 (EK)

UNC‑4.J (LO)

UNC‑4.J.1 (EK)

UNC‑4.K (LO)

UNC‑4.K.1 (EK)

Learn

Practice

Conditions for inference on two proportionsGet 3 of 4 questions to level up!
Two-sample z interval for the difference of proportionsGet 3 of 4 questions to level up!

Testing for the difference of two population proportions

AP Stats:

DAT (BI)

DAT‑3 (EU)

DAT‑3.C (LO)

DAT‑3.C.1 (EK)

DAT‑3.D (LO)

DAT‑3.D.1 (EK)

DAT‑3.D.2 (EK)

UNC (BI)

UNC‑4 (EU)

UNC‑4.N (LO)

UNC‑4.N.1 (EK)

VAR (BI)

VAR‑6 (EU)

VAR‑6.H (LO)

VAR‑6.H.1 (EK)

VAR‑6.H.2 (EK)

VAR‑6.H.3 (EK)

VAR‑6.I (LO)

VAR‑6.I.1 (EK)

VAR‑6.J (LO)

VAR‑6.J.1 (EK)

VAR‑6.K (LO)

VAR‑6.K.1 (EK)

Learn

Practice

Writing hypotheses for testing the difference of proportionsGet 3 of 4 questions to level up!
Test statistic in a two-sample z test for the difference of proportionsGet 3 of 4 questions to level up!
P-value in a two-sample z test for the difference of proportionsGet 3 of 4 questions to level up!
Making conclusions about the difference of proportionsGet 3 of 4 questions to level up!

Quiz 4

Level up on the above skills and collect up to 480 Mastery points

Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1900 Mastery points!

AP® is a registered trademark of the College Board, which has not reviewed this resource.

Unit: Inference for categorical data: Proportions

Unit: Inference for categorical data: Proportions

0

About this unit

Introduction to confidence intervals

Learn

Confidence intervals for proportions

Learn

Practice

Quiz 1

The idea of significance tests

Learn

Practice

Setting up a test for a population proportion

Learn

Practice

Quiz 2

Carrying out a test for a population proportion

Learn

Practice

Concluding a test for a population proportion

Learn

Practice

Potential errors when performing tests

Learn

Practice

Quiz 3

Confidence intervals for the difference of two proportions

Learn

Practice

Testing for the difference of two population proportions

Learn

Practice

Quiz 4

Unit test

About

Contact

Download our apps

Courses