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

The question mentions that the researcher is testing whether job security and life satisfaction are related, which means the null hypothesis is that they are independent. The table shows the expected and observed frequencies, which can be used to calculate the chi-square statistic. Using a chi-square calculator or table, the calculated chi-square value is 2.51. With 2 degrees of freedom and a significance level of .05, the critical value is 5.99. Since the calculated value is less than the critical value, we fail to reject the null hypothesis and conclude that job security and life satisfaction are independent. Therefore, the correct choice is C, job security and job satisfaction are independent.

A Researcher Tests Whether Job Security and Life Satisfaction Are