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 73 98 52 Short and Pudgy 67 114 78 Tall and Slender 57 114 61 Tall and Heavy 56 116 72 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Homogeneity O Paired t-test Independence b. What are the null and alternative hypotheses? Ho: The distribution of hair color is not the same for each body type. OHair color and body type are independent. The distribution of hair color is the same for each body type. Hair color and body type are dependent.

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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I need help with parts c,d,f
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
73
98
52
Short and Pudgy
67
114
78
Tall and Slender
57
114
61
Tall and Heavy
56
116
72
What can be concluded at the a = 0.10 significance level?
a. What is the correct statistical test to use?
Goodness-of-Fit
Homogeneity
Paired t-test
|Independence
b. What are the null and alternative hypotheses?
Ho:
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.
Hair color and body type are dependent.
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 Short and Slender 73 98 52 Short and Pudgy 67 114 78 Tall and Slender 57 114 61 Tall and Heavy 56 116 72 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Homogeneity Paired t-test |Independence b. What are the null and alternative hypotheses? Ho: 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. Hair color and body type are dependent.
H1:
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 distribution of hair color is the same for each body type.
C. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is (Select an answer
f. Based on this, we should
accept the null
fail to reject the null
reject the null
g. Thus, the final conclusion is...
There is sufficient evidence to conclude that hair color and body type are independe
There is insufficient evidence to conclude that hair color and body type are depende
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 insufficient evidence to conclude that the distribution of hair color is not the
same for each body type.
Chi-Square Calculator.
Transcribed Image Text:H1: 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 distribution of hair color is the same for each body type. C. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is (Select an answer f. Based on this, we should accept the null fail to reject the null reject the null g. Thus, the final conclusion is... There is sufficient evidence to conclude that hair color and body type are independe There is insufficient evidence to conclude that hair color and body type are depende 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 insufficient evidence to conclude that the distribution of hair color is not the same for each body type. Chi-Square Calculator.
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