From Sprinthall (1990). A researcher is interested in whether or not a significa

Question

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 shirt, 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. Please state null and alternative hypotheses, provide observed chi-square test value, and interpret the results in terms of the null hypothesis.

Explanation / Answer

H0: Police officer do not have preference in shift they work

H1: Police officer have prefernce in shift they work

Decision rule is chisquare>5.99 or if chi square is <-5.99 reject H0

Conculsion statement Police office have preference in shift they work

Chi square(1,N=60)=30; p<0.05

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