You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p' = 36 % . You would like to be 99.9% confident that your esimate is within 1.5% of the true population proportion. How large of a sample size is required? n = Do not round mid-calculation. However, use a critical value accurate to three decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Title: Calculating Sample Size for Estimating Population Proportion

---

**Problem Statement:**

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately \( p^* = 36\% \). You would like to be 99.9% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?

\[ n = \,\, \text{[Input box for the answer]} \]

**Instructions:**

- Do not round mid-calculation.
- Use a critical value accurate to three decimal places.

**Support:**

- *Question Help:* [Message instructor] (This is a clickable link to message the instructor for assistance.)

**Action:**

- [Submit Question] (This is a clickable button to submit your answer.)

---

This text accompanies an interactive element where learners can input their calculated sample size and submit it for evaluation.
Transcribed Image Text:Title: Calculating Sample Size for Estimating Population Proportion --- **Problem Statement:** You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately \( p^* = 36\% \). You would like to be 99.9% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? \[ n = \,\, \text{[Input box for the answer]} \] **Instructions:** - Do not round mid-calculation. - Use a critical value accurate to three decimal places. **Support:** - *Question Help:* [Message instructor] (This is a clickable link to message the instructor for assistance.) **Action:** - [Submit Question] (This is a clickable button to submit your answer.) --- This text accompanies an interactive element where learners can input their calculated sample size and submit it for evaluation.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman