Answered: You want to obtain a sample to estimate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?

Expert Solution

Step 1

Given Information:

Confidence level = 90%

Error (e) = 0.035 (3.5%)

z score at 90% confidence level is 1.645

Population proportion (p) = 0.5 (it is assumed since it is not given)

The sample size can be calculated using following formula:

$n = {(\frac{z}{e})}^{2} p (1 - p)$

Step by step

Solved in 2 steps

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