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 Slender729551Short and Pudgy9111579Tall and Slender5510769Tall and Heavy5111677 What can be concluded at the αα = 0.05 significance level?What is the correct statistical test to use?IndependencePaired t-testGoodness-of-FitHomogeneityWhat are the null and alternative hypotheses?H0:H0: The distribution of hair color is the same for each body type.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.H1:H1: The distribution of hair color is the same for each body type.Hair color and body type are independent.The distribution of hair color is not the same for each body type.Hair color and body type are dependent.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 less than (or equal to) greater than αα Based on this, we shouldfail to reject the nullreject the nullaccept the nullThus, the final conclusion is...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 hair color and body type are independent.There is sufficient evidence to conclude that hair color and body type are dependent.There is insufficient evidence to conclude that hair color and body type are dependent.There is sufficient evidence to conclude that the distribution of hair color is not the same for each body type.

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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 Slender729551Shor

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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	72	95	51
Short and Pudgy	91	115	79
Tall and Slender	55	107	69
Tall and Heavy	51	116	77

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

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

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