=====Mathematics 120 - Fall 2018=====

==== Homework ====

**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.