📚

All Subjects

 > 

📊 

AP Stats

 > 

📊

Unit 5

5.5 Sampling Distributions for Sample Proportions

1 min readjune 4, 2020

harrison-burnside

Harrison Burnside

josh

Josh Argo

Brianna Bukowski


Formulas

You can usually tell if you will solve a problem using sample proportions if the problem gives you a probability or percentage. For a sample proportion with probability p, the mean of our sampling distribution is equal to the probability. All formulas in this section can be found on page 2 of the given formula sheet.
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-58EuGtZIHPCn.JPG?alt=media&token=7c247d6f-c0be-46ec-8687-caa6b2b51c67

Source: NEW AP Statistics Formula Sheet

Large Counts Condition

However before you can solve the problem, you must first assure the sample is normally distributed by checking the large counts condition. The large counts condition assures that the number of success and failures is above 10 to be able to be normally distributed. The large counts condition is np ≥ 10 and n(1-p)  ≥ 10
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-6q3CsGxXFix4.JPG?alt=media&token=25324f8e-0850-4535-9c44-08d2792689d5
For the shape (normal) of distributions of means, you can check the Central Limit Theorem, but for proportions you must always check the Large Counts Condition.

Was this guide helpful?

🔍 Are you ready for college apps?
Take this quiz and find out!
Start Quiz
FREE AP stats Survival Pack + Cram Chart PDF
Sign up now for instant access to 2 amazing downloads to help you get a 5
Browse Study Guides By Unit
📆
Big Reviews: Finals & Exam Prep
✏️
Blogs
✍️
Free Response Questions (FRQs)
👆
Unit 1: Exploring One-Variable Data
✌️
Unit 2: Exploring Two-Variable Data
🔎
Unit 3: Collecting Data
🎲
Unit 4: Probability, Random Variables, and Probability Distributions
⚖️
Unit 6: Inference for Categorical Data: Proportions
😼
Unit 7: Inference for Qualitative Data: Means
✳️
Unit 8: Inference for Categorical Data: Chi-Square
📈
Unit 9: Inference for Quantitative Data: Slopes
Join us on Discord
Thousands of students are studying with us for the AP Statistics exam.
join now
Play this on HyperTyper
Practice your typing skills while reading Sampling Distributions for Sample Proportions
Start Game
💪🏽 Are you ready for the Stats exam?
Take this quiz for a progress check on what you’ve learned this year and get a personalized study plan to grab that 5!
START QUIZ
Hours Logo
Studying with Hours = the ultimate focus mode
Start a free study session
📱 Stressed or struggling and need to talk to someone?
Talk to a trained counselor for free. It's 100% anonymous.
Text FIVEABLE to 741741 to get started.
© 2021 Fiveable, Inc.