Gender/Color Black Brown Blonde Other Total Male 144 113 118 147 522 Female 117 110 124 115 466 Total 261 223 242 262 988 The contingency table shows a random sample of people divided up by gender and hair color. At a 1% Level of Significance, test to determine whether gender and hair color are independent. 1. The hypotheses are : O Ho:Gender and hair color are not independent Ha:Gender and hair color are independent O Ho:Gender and hair color are independent Ha:Gender and hair color are not independent 2. This is a O rightO twoO left tailed test; d.f. = %3D 3a. The STS (to 2 decimals) is x 3b. The P-value (to 3 decimals) = 4a. The decision at a = 1% is O Do not reject Ho O Reject Ho

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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Topic Video
Question
Gender/Color
Black
Brown
Blonde
Other
Total
Male
144
113
118
147
522
Female
117
110
124
115
466
Total
261
223
242
262
988
The contingency table shows a random sample of people divided up by gender and hair color. At a 1% Level
of Significance, test to determine whether gender and hair color are independent.
1. The hypotheses are :
O Ho:Gender and hair color are not independent
Ha:Gender and hair color are independent
O Ho:Gender and hair color are independent
Ha:Gender and hair color are not independent
2. This is a O rightO twoO left tailed test; d.f. =
3a. The STS (to 2 decimals) is x =
3b. The P-value (to 3 decimals) =
4a. The decision at a = 1% is
O Do not reject Ho
O Reject Ho
Transcribed Image Text:Gender/Color Black Brown Blonde Other Total Male 144 113 118 147 522 Female 117 110 124 115 466 Total 261 223 242 262 988 The contingency table shows a random sample of people divided up by gender and hair color. At a 1% Level of Significance, test to determine whether gender and hair color are independent. 1. The hypotheses are : O Ho:Gender and hair color are not independent Ha:Gender and hair color are independent O Ho:Gender and hair color are independent Ha:Gender and hair color are not independent 2. This is a O rightO twoO left tailed test; d.f. = 3a. The STS (to 2 decimals) is x = 3b. The P-value (to 3 decimals) = 4a. The decision at a = 1% is O Do not reject Ho O Reject Ho
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