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Name: A genetic experiment involving peas yielded one sample of offspring co
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Description: A genetic experiment involving peas yielded one sample of offspring consisting of 436 green peas and 178 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify th

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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A genetic experiment involving peas yielded one sample of offspring consisting of 436 green peas and 178 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, p value, conclusion about the null hypothesis and final conclusion that address the original claim. Use the p value method and normal distribution as an approximation to the binomial distribution.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

Given:

Sample size is:

$\begin{array}{rcl} n & = & number of green peas + number of yellow peas \\ = & 436 + 178 \\ = & 614 \end{array}$

Number of yellow peas is x = 178.

Population proportion of yellow peas is $p = 0.25$ .

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