Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people.Frequencies of Hair Colors for Various Body Types BlondeBrunetteRed HeadShort and Slender808452Short and Pudgy9110572Tall and Slender599668Tall and Heavy6010975 What can be concluded at the αα = 0.05 significance level?What is the correct statistical test to use?Paired t-testGoodness-of-FitHomogeneityIndependenceWhat are the null and alternative hypotheses?H0:H0: The distribution of hair color is the same for each body type.The distribution of hair color is not the same for each body type.Hair color and body type are dependent.Hair color and body type are independent.H1:H1: Hair color and body type are dependent.The distribution of hair color is not the same for each body type.Hair color and body type are independent.The distribution of hair color is the same for each body type.The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we shouldfail to reject the nullaccept the nullreject the nullThus, the final conclusion is...There is insufficient evidence to conclude that hair color and body type are dependent.There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type.There is sufficient evidence to conclude that the distribution of hair color is not the same for each body type.There is sufficient evidence to conclude that hair color and body type are independent.There is sufficient evidence to conclude that hair color and body type are dependent.

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Description: Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people.Frequencies of Hair Colors for Various Body Types BlondeBrunetteRed HeadShort and Slender808452Shor

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people.

Frequencies of Hair Colors for Various Body Types

	Blonde	Brunette	Red Head
Short and Slender	80	84	52
Short and Pudgy	91	105	72
Tall and Slender	59	96	68
Tall and Heavy	60	109	75

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?
- Paired t-test
- Goodness-of-Fit
- Homogeneity
- Independence
What are the null and alternative hypotheses?
H0:H0:
- The distribution of hair color is the same for each body type.
- The distribution of hair color is not the same for each body type.
- Hair color and body type are dependent.
- Hair color and body type are independent.
H1:H1:
- Hair color and body type are dependent.
- The distribution of hair color is not the same for each body type.
- Hair color and body type are independent.
- The distribution of hair color is the same for each body type.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer greater than less than (or equal to) αα
Based on this, we should
- fail to reject the null
- accept the null
- reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that hair color and body type are dependent.
- There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type.
- There is sufficient evidence to conclude that the distribution of hair color is not the same for each body type.
- There is sufficient evidence to conclude that hair color and body type are independent.
- There is sufficient evidence to conclude that hair color and body type are dependent.

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