A viral infection is spread by contact with an infected person. Suppose that an infected person has contact with 15 healthy people, let X denote the number of people (out of these 15) who are infected. By "infected" we mean that the person develops symptoms of the infection. Based on previous research, the infection rate is 25%. After how many positive cases can we conclude the infection rate is acutally higher than 25%? (What is the lowest number of positive cases?)
A viral infection is spread by contact with an infected person. Suppose that an infected person has contact with 15 healthy people, let X denote the number of people (out of these 15) who are infected. By "infected" we mean that the person develops symptoms of the infection. Based on previous research, the infection rate is 25%. After how many positive cases can we conclude the infection rate is acutally higher than 25%? (What is the lowest number of positive cases?)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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
Transcribed Image Text:**Problem Statement:**
A viral infection is spread by contact with an infected person. Suppose that an infected person has contact with 15 healthy people. Let \( X \) denote the number of people (out of these 15) who are infected. By "infected" we mean that the person develops symptoms of the infection. Based on previous research, the infection rate is 25%.
**Question:**
After how many positive cases can we conclude the infection rate is actually higher than 25%? (What is the lowest number of positive cases?)
---
For this problem, you'll likely need to use statistical methods or hypothesis testing to determine when the observed infection rate significantly exceeds the expected rate of 25%.
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