To check whether data provide a convincing evidence of an association between gender and goal for students in grades 4, 5 and 6.
Answer to Problem R11.5RE
There is convincing evidence that there is an association between gender and goal.
Explanation of Solution
Given:
Female | Male | Total | |
Grades | 130 | 117 | 247 |
Popular | 91 | 50 | 141 |
Sports | 30 | 60 | 90 |
Total | 251 | 227 | 478 |
Calculation:
The null and alternative hypotheses:
H0: There is no association between gender and goal.
Ha: There is an association between gender and goal.
Using, excel, this chi-square test is,
Decision: P-value = 0.0000 < 0.05, reject H0.
Conclusion: There is convincing evidence that there is an association between gender and goal.
Chapter 11 Solutions
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