Chapter 11, Problem R11.5RE

To determine

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.

H_a: 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.