For the question please state null and alternative hypothese

For the question, please state null and alternative hypotheses, provide observed chi-square test value, and interpret the results in terms of the null hypothesis

11. From Sprinthall (1990). A researcher is interested in whether or not a significant trend exists regarding the popularity of certain work shifts among police officers. A random sample of 60 police officers is selected from a large metropolitan police force. The officers are asked to indicate which of three work shifts they preferred. The results show that 40 officers prefer the first shift, 10 prefer the second shift, and 10 prefer the third shift. Do the results deviate significantly from what would be expected due to chance? Hint: try using SPSS to create the dataset, and then run the chi-square test of independence on the resulting dataset.

Solution

HO: Police officers do not have a preference in terms of the shift they work

     H1: Police officers have a preference in terms of the shift they work

     Decision rule: If 2 +5.99 or if 2 -5.99, reject HO.

     Conclusion sentence: Police officers have a preference in terms of the shift they       

                                        work, 2 (1, N = 60) = 30.0, p < .05.