Question

Consider the following statement: The proportion of all calls made to a county $9-1-1$ emergency number during the year 2017 that were nonemergency calls was 0.14 a. Is the number that appears in boldface in this statement a sample proportion or a population proportion? b. Which of the following use of notation is correct, $p=0.14$ or $\hat{p}=0.14 ?$

Name: Problem 10, Chapter 8: Statistics Learning From Data
Uploaded: 2022-01-11T01:24:55-08:00
Duration: 2 min 22 s
Channel: Nick Johnson
Description: Consider the following statement: The proportion of all calls made to a county 9-1-1 emergency number during the year 2017 that were nonemergency calls was 0.14 a. Is the number that appears in boldface in this statement a sample proportion or a population proportion? b. Which of the following use of notation is correct, p=0.14 or p̂=0.14 ?

   Consider the following statement:
The proportion of all calls made to a county $9-1-1$ emergency number during the year 2017 that were nonemergency calls was 0.14
a. Is the number that appears in boldface in this statement a sample proportion or a population proportion?
b. Which of the following use of notation is correct, $p=0.14$ or $\hat{p}=0.14 ?$

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 8, Problem 10

Instant Answer

Solved by Expert Nick Johnson

01/11/2022

Step 1

The statement is talking about all calls made to a county 911 emergency number during the year 2017. This means it is considering the entire population of calls made in that year, not just a sample of calls. Show more…

Show all steps

Thanks for your feedback!

Consider the following statement: The proportion of all calls made to a county $9-1-1$ emergency number during the year 2017 that were nonemergency calls was 0.14 a. Is the number that appears in boldface in this statement a sample proportion or a population proportion? b. Which of the following use of notation is correct, $p=0.14$ or $\hat{p}=0.14 ?$

Play audio

Feedback

Nick Johnson and 73 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Statistical Notation for Proportions

In statistical notation, the true population proportion is commonly denoted by 'p', while the sample proportion is represented by 'ˆp'. This notation distinguishes between the actual unknown parameter of interest and the estimate derived from sample data.

Population Proportion

A population proportion is a parameter that reflects the true proportion of a particular attribute in the entire population. It is not an estimate, but the actual proportion of all individuals or cases, such as all 9-1-1 calls in the defined time frame.

Sample Proportion

A sample proportion, on the other hand, is a statistic calculated from a random sample drawn from the larger population. It serves as an estimate of the true population proportion and is often subject to sampling variability.

Please give Ace some feedback