Section 28.4
Exercise Set C: 2, 3, 5, 6, 7
Review Exercises (page 541): 3
Also:
In a study of the relationship between laterality of hand and laterality of eye, 413 subjects were classified according to these two characteristics. The results are in the following table
Left-eyed | Ambiocular | Right-eyed | |
---|---|---|---|
Left-handed | 34 | 62 | 28 |
Ambidextrous | 27 | 28 | 20 |
Right-handed | 57 | 105 | 52 |
Test the null hypothesis that the laterality of hand and laterality of eye are independent.
Answer:
Using a chi-square test for independence, we find a test statistic of $\chi^2 = 4.02$. Using a chi-square distribution with 4 degrees of freedom, the p-value is between 30% and 40%. Thus there is no evidence against the hypothesis that laterality of hand and laterality of eye are independent.
Answer for Review Exercise # 3:
Using a chi-square test for independence, we find a test statistic of $\chi^2 = 14.24$. Using a chi-square distribution with 4 degrees of freedom, the p-value is less than 1%. Thus there is strong evidence against the null hypothesis of independence of marital status and employment status.