or the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully: 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.   Blonde Brunette Red Head Short and Slender 78 87 60 Short and Pudgy 63 92 68 Tall and Slender 57 118 71 Tall and Heavy 54 95 75  What can be concluded at the α = 0.01 significance level? a. What is the correct statistical test to use? b. What are the null and alternative hypotheses? H0:                                           H1: c. The test-statistic for this data is χ2 = d. What is the p-value for this sample (correct to 4 decimal places) e. Should the Null hypothesis be rejected or Not? Why? f. State the conclusion of the test in the context of the problem

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For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully:

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.

  Blonde Brunette Red Head
Short and Slender 78 87 60
Short and Pudgy 63 92 68
Tall and Slender 57 118 71
Tall and Heavy 54 95 75

 What can be concluded at the α = 0.01 significance level?

a. What is the correct statistical test to use?

b. What are the null and alternative hypotheses?
H0:                                           H1:

c. The test-statistic for this data is χ2 =

d. What is the p-value for this sample (correct to 4 decimal places)

e. Should the Null hypothesis be rejected or Not? Why?

f. State the conclusion of the test in the context of the problem 

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