Answered: According to a recent report, 68% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a recent report, 68% of the population has a certain medical condition. In a random sample of n=130 from this population, what is the probability at least 62.5% of the sample will have the medical conditions.

P(p̂ ≥ 0.625) = _________________

use normal approximation

Note: The population is very large, and a sample of n=130 represents far less than 0.01% of the entire population.

Expert Solution

Step 1

Provided data is, according to a recent report, 68% of the population has a certain medical condition. In a random sample of n=130 from this population.

For normal approximation;

$μ = p = 0.68 σ = \sqrt{\frac{p (1 - p)}{n}} = \sqrt{\frac{0.68 (1 - 0.68)}{130}} = 0.0409$

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