You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 67%. You would like to be 90% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? Hint: Video [+1

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
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe
the population proportion is approximately 67%. You would like to be 90% confident that your estimate is
within 1.5% of the true population proportion. How large of a sample size is required?
Hint: Video [+]
n =
Submit Question
近
Transcribed Image Text:You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 67%. You would like to be 90% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? Hint: Video [+] n = Submit Question 近
Expert Solution
Step 1

Given Information:

Population proportion p = 67% = 0.67

Confidence level = 90% = 0.90

Margin of Error = 1.5%=0.015

 

 

Formula used to calculate sample size is given below:

M.E=±z*p(1-p)n

Z-critical value for 90% confidence level is 1.645

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
  • SEE MORE 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