s 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 90 43 Short and Pudgy 110 108 70 Tall and Slender 53 99 70 Tall and Heavy 60 106 78  What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Independence Goodness-of-Fit Paired t-test Homogeneity What are the null and alternative hypotheses? H0:H0:  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. Hair color and body type are independent. H1:H1:  The distribution of hair color is the same for each body type. The distribution of hair color is not the same for each body type. Hair color and body type are independent. Hair color and body type are dependent.

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 58E: What is meant by the sample space of an experiment?
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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 73 90 43
Short and Pudgy 110 108 70
Tall and Slender 53 99 70
Tall and Heavy 60 106 78

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

  1. What is the correct statistical test to use?
    • Independence
    • Goodness-of-Fit
    • Paired t-test
    • Homogeneity
  2. What are the null and alternative hypotheses?
    H0:H0: 
    • 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.
    • Hair color and body type are independent.



    H1:H1: 
    • The distribution of hair color is the same for each body type.
    • The distribution of hair color is not the same for each body type.
    • Hair color and body type are independent.
    • Hair color and body type are dependent.
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