Question

1. Based on the following tables, calculate c². Provide a substantive, statistical & PRE interpretation where possible. Please show all of your work. (15 points) (Type answers)

c²: (Major & Immigration)

	Sociology	Criminology
Favor	77	35
Oppose	39	59

Answer 1

We are given a 2x2 contingency table on criminal behaviour and their support, we have to test is there any relationship exist between them or not.

The hypothesis to be stated for this test is:

Ho: There is no significant relationship betwwen criminal behaviour and support.

H1: There is significant relationship between criminal behaviour and support

Since we are given a categorical data, therefore chi-square test is appropriate for testing the hypothsis.

test statistic is given by:

chi square =

        

        = 22.5109

so the value of test statistic is 22.5109

if this value is greater than tabulated value of chi square at alpha % level of significane than we reject Ho

This value is greater than tabulated value at 5% level of significance so we reject the null hypothesis and conclude that there is no significant relationship betwwen criminal behaviour and support.