A researcher has developed a theoretical model for predicting eye colo sample of parents, she predicts the eye color of the first child. The tab of offspring. On the basis of her theory, she predicted that 87% of the eyes, 8% would have blue eyes, and 5% would have green eyes.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A researcher has developed a theoretical model for predicting eye color. After examining a random
sample of parents, she predicts the eye color of the first child. The table below lists the eye colors
of offspring. On the basis of her theory, she predicted that 87% of the offspring would have brown
eyes, 8% would have blue eyes, and 5% would have green eyes.
i-
ii-
Calculate the expected frequencies, then use a 0.05 significance level to test the claim
that the actual frequencies correspond to her predicted distribution, without using
chisq.test function in R. Please state the following: the hypothesis, test-statistic (its
distribution and the corresponding degree of freedom), p-value, and your conclusion
in the context of the problem.
Observed Frequency
Expected Frequency
Brown eyes
132
Blue eyes
17
Green eyes
0
Use chisq.test function in R and test the claim that the actual frequencies correspond
to her predicted distribution, at a 0.05 significance level and only present a screenshot
of the R output for this test.
Transcribed Image Text:A researcher has developed a theoretical model for predicting eye color. After examining a random sample of parents, she predicts the eye color of the first child. The table below lists the eye colors of offspring. On the basis of her theory, she predicted that 87% of the offspring would have brown eyes, 8% would have blue eyes, and 5% would have green eyes. i- ii- Calculate the expected frequencies, then use a 0.05 significance level to test the claim that the actual frequencies correspond to her predicted distribution, without using chisq.test function in R. Please state the following: the hypothesis, test-statistic (its distribution and the corresponding degree of freedom), p-value, and your conclusion in the context of the problem. Observed Frequency Expected Frequency Brown eyes 132 Blue eyes 17 Green eyes 0 Use chisq.test function in R and test the claim that the actual frequencies correspond to her predicted distribution, at a 0.05 significance level and only present a screenshot of the R output for this test.
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