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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 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63 b. What are the null and alternative hypotheses? Ho: Hair color and body type are dependent. The distribution of hair color is not the same for each body type. The distribution of hair color is the same for each body type. O Hair color and body type are independent. H₁: 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. The distribution of hair color is the same for each body type. c. The test-statistic for this data d. The p-value for this sample = fail to reject the null reject the null = e. The p-value is Select an answer f. Based on this, we should O accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) a g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. There is insufficient evidence to conclude that hair color and body type are dependent. O 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 dependent. There is sufficient evidence to conclude that hair color and body type are independent.

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 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63 b. What are the null and alternative hypotheses? Ho: Hair color and body type are dependent. The distribution of hair color is not the same for each body type. The distribution of hair color is the same for each body type. O Hair color and body type are independent. H₁: 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. The distribution of hair color is the same for each body type. c. The test-statistic for this data d. The p-value for this sample = fail to reject the null reject the null = e. The p-value is Select an answer f. Based on this, we should O accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) a g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. There is insufficient evidence to conclude that hair color and body type are dependent. O 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 dependent. There is sufficient evidence to conclude that hair color and body type are independent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63
Transcribed Image Text: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 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63
b. What are the null and alternative hypotheses? Ho: Hair color and body type are dependent. The distribution of hair color is not the same for each body type. The distribution of hair color is the same for each body type. O Hair color and body type are independent. H₁: 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. The distribution of hair color is the same for each body type. c. The test-statistic for this data d. The p-value for this sample = fail to reject the null reject the null = e. The p-value is Select an answer f. Based on this, we should O accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) a g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. There is insufficient evidence to conclude that hair color and body type are dependent. O 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 dependent. There is sufficient evidence to conclude that hair color and body type are independent.
Transcribed Image Text:b. What are the null and alternative hypotheses? Ho: Hair color and body type are dependent. The distribution of hair color is not the same for each body type. The distribution of hair color is the same for each body type. O Hair color and body type are independent. H₁: 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. The distribution of hair color is the same for each body type. c. The test-statistic for this data d. The p-value for this sample = fail to reject the null reject the null = e. The p-value is Select an answer f. Based on this, we should O accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) a g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. There is insufficient evidence to conclude that hair color and body type are dependent. O 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 dependent. There is sufficient evidence to conclude that hair color and body type are independent.
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