Gender and Award Preference: A two-way table showing preferences for an award (Academy Award, Nobel Prize, Olympic gold medal) by gender for the students sampled in shown below. Test whether the data indicate there is some association between gender and preferred award. Use a=.05 Two-way table of gender and preferred award     Academy   Nobel   Olympic       Total Female 20 76 73 169 Male 11 73 109 193 Total 31 149 182 362   How many degrees of freedom do we have for this test? Find the value of the chi-square statistic for the sample.   Find the p-value. Do you reject the null hypothesis? Yes or no.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Gender and Award Preference: A two-way table showing preferences for an award (Academy Award, Nobel Prize, Olympic gold medal) by gender for the students sampled in shown below. Test whether the data indicate there is some association between gender and preferred award. Use a=.05

Two-way table of gender and preferred award

 

 

Academy

 

Nobel

 

Olympic    

 

Total

Female

20

76

73

169

Male

11

73

109

193

Total

31

149

182

362

 

How many degrees of freedom do we have for this test?

Find the value of the chi-square statistic for the sample.

 

Find the p-value.

Do you reject the null hypothesis? Yes or no.

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