Question

Your study finds that 40% of 320 criminal justice majors reported volunteering in the previous month, compared with 29% of 220 accounting majors.

Present the five-step model, testing your hypothesis at the .05 level. What do you conclude?

Answer 1

For criminal justice major:

For accounting majors:

(1) Null and Alternative Hypotheses

This corresponds to a two-tailed test.

(2) Rejection Region

At =0.05, the critical value for a two-tailed test is = 1.96

The rejection region for this two-tailed test is

(3) Test Statistics

(4) Decision about the null hypothesis

Since it is observed that z = 2.679 > = 1.96, it is then concluded that the null hypothesis is rejected.

(5) Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that ​criminal justice majors is different than accounting majors​, at the 0.05 significance level.