Gender/Color Black Brown Blonde Other Total Male 140 143 101 102 486 Female 137 140 111 115 503 Total 277 283 212 217 989 The contingency table shows a random sample of people divided up by gender and hair color. At a 10% 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 Ho:Gender and hair color are independent Ha:Gender and hair color are not independent 2. This is a OrightO two left tailed test; d.f. = 3 3a. The STS (to 2 decimals) is x² = 1.02 3b. The P-value (to 3 decimals) = 4a. The decision at a = 10% is O Do not reject Ho Reject Ho

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Topic Video
Question
Answer 3b, 4a, and 4b
Gender/Color
Black
Вгown
Blonde
Other
Total
Male
140
143
101
102
486
Female
137
140
111
115
503
Total
277
283
212
217
989
The contingency table shows a random sample of people divided up by gender and hair color. At a
10% 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. = 3
3a. The STS (to 2 decimals) is x =
1.02
3b. The P-value (to 3 decimals) =
4a. The decision at a = 10% is
O Do not reject Ho
O Reject Ho
étv
MacBook Air
II
F8
F5
F6
F7
F9
F10
F11
&
5
7.
6
Transcribed Image Text:Gender/Color Black Вгown Blonde Other Total Male 140 143 101 102 486 Female 137 140 111 115 503 Total 277 283 212 217 989 The contingency table shows a random sample of people divided up by gender and hair color. At a 10% 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. = 3 3a. The STS (to 2 decimals) is x = 1.02 3b. The P-value (to 3 decimals) = 4a. The decision at a = 10% is O Do not reject Ho O Reject Ho étv MacBook Air II F8 F5 F6 F7 F9 F10 F11 & 5 7. 6
4b. The conclusion is
O There is sufficient evidence to conclude that gender and hair color are not independent
O There is sufficient evidence to conclude that gender and hair color are independent
O There is insufficient evidence to conclude that gender and hair color are not independent
O There is insufficient evidence to conclude that gender and hair color are independent
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Transcribed Image Text:4b. The conclusion is O There is sufficient evidence to conclude that gender and hair color are not independent O There is sufficient evidence to conclude that gender and hair color are independent O There is insufficient evidence to conclude that gender and hair color are not independent O There is insufficient evidence to conclude that gender and hair color are independent Submit Question tv
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