A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test?
A)Job security and job satisfaction are related.
B)Job security and job satisfaction are dependent.
C)Job security and job satisfaction are independent.
D)Both A and B are appropriate.

Question

A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test? 
A)Job security and job satisfaction are related. 
B)Job security and job satisfaction are dependent. 
C)Job security and job satisfaction are independent. 
D)Both A and B are appropriate.

Quizplus · Accepted Answer

Since the question asks for a test for independence, the null hypothesis is that job security and life satisfaction are independent. To determine whether to reject or fail to reject the null hypothesis, we use a significance level of .05. The chi-square test for independence is used to determine whether two categorical variables are independent. Since the calculated chi-square value is less than the critical value, and the p-value is greater than .05, we fail to reject the null hypothesis. Therefore, we conclude that job security and life satisfaction are independent.

A Researcher Tests Whether Job Security and Life Satisfaction Are