Answered: Based on a study by Dr. P. Sorita at… | bartleby

MATLAB: An Introduction with Applications

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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Question

**Title: Probability Study on Green Eye Color Prevalence**

**Context:**
This study is based on research by Dr. P. Sorita at Indiana University, which assumes that 12% of the population has green eyes. In a sample of 650 people, 86 individuals are observed to have green eyes. The study uses a normal distribution to approximate a binomial distribution.

**Objective:**
1. **Probability Calculation:**
a. Calculate the probability of observing at least 86 people with green eyes out of 650 randomly selected individuals.

2. **Significance Analysis:**
b. Determine whether observing 86 people with green eyes is significantly high based on the given assumption.

**Instructions:**
- Utilize the properties of the normal distribution to approximate the binomial probability.
- Discuss the implications of the findings in terms of statistical significance.

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