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? 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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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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?

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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