Simple random samples of 350 women and 450 men from Michigan are obtained.The 800 people in the sample are categorized according to where they went to school: in state,out of state,or no college. The SPSS output for the above table is given below.The output includes the cell counts and the most expected cell counts.Expected counts are printed below observed counts. The chi-square statistic for these data equals 13.5.What do we know about the P-value for testing that there is no association between college location and gender? A)P-value

Question

Simple random samples of 350 women and 450 men from Michigan are obtained.The 800 people in the sample are categorized according to where they went to school: in state,out of state,or no college.  The SPSS output for the above table is given below.The output includes the cell counts and the most expected cell counts.Expected counts are printed below observed counts.  The chi-square statistic for these data equals 13.5.What do we know about the P-value for testing that there is no association between college location and gender?
A)P-value < 0.001 
B)0.001 < P-value < 0.0025 
C)0.0025 < P-value < 0.005 
D)P-value > 0.005

Quizplus · Accepted Answer

With a chi-square statistic of 13.5 and 4 degrees of freedom (3 categories for college location and 1 for gender), we can use a chi-square distribution table to find that the P-value is between 0.001 and 0.0025. This means that we can reject the null hypothesis of no association between college location and gender at a significance level of 0.05, but not at a significance level of 0.001. The best choice is therefore B.

Simple Random Samples of 350 Women and 450 Men from Michigan