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 84 98 61 110 53 109 49 107 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Independence Homogeneity OGoodness-of-Fit OPaired t-test b. What are the null and alternative hypotheses? Ho: 60 80 78 63 Hair color and body type are independent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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H₁:
O The distribution of hair color is not the same for each body type.
O The distribution of hair color is the same for each body type.
O Hair color and body type are independent.
O Hair color and body type are dependent.
c. The test-statistic for this data =
d. The p-value for this sample:
=
e. The p-value is Select an answer
f. Based on this, we should
O fail to reject the null
Oreject the null
O accept the null
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that hair color and body type are independent.
OThere is insufficient evidence to conclude that the distribution of hair color is not the same for each body
type.
OThere 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.
O There is insufficient evidence to conclude that hair color and body type are dependent.
Transcribed Image Text:H₁: O The distribution of hair color is not the same for each body type. O The distribution of hair color is the same for each body type. O Hair color and body type are independent. O Hair color and body type are dependent. c. The test-statistic for this data = d. The p-value for this sample: = e. The p-value is Select an answer f. Based on this, we should O fail to reject the null Oreject the null O accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is sufficient evidence to conclude that hair color and body type are independent. OThere is insufficient evidence to conclude that the distribution of hair color is not the same for each body type. OThere 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. O There is insufficient evidence to conclude that hair color and body type are dependent.
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
84
98
61
110
53
49
Short and Slender
Short and Pudgy
Tall and Slender
Tall and Heavy
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Independence
O Homogeneity
O Goodness-of-Fit
O Paired t-test
109
107
60
80
78
63
b. What are the null and alternative hypotheses?
Ho:
O Hair color and body type are independent.
O The distribution of hair color is the same for each body type.
O Hair color and body type are dependent.
O The distribution of hair color is not the same for each body type.
H₁:
O The distribution of hair color is not the same for each body type.
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 84 98 61 110 53 49 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Independence O Homogeneity O Goodness-of-Fit O Paired t-test 109 107 60 80 78 63 b. What are the null and alternative hypotheses? Ho: O Hair color and body type are independent. O The distribution of hair color is the same for each body type. O Hair color and body type are dependent. O The distribution of hair color is not the same for each body type. H₁: O The distribution of hair color is not the same for each body type.
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