How to do the test:
 State your Null Hypothesis in the form: "There is no difference between the populations from which the two samples come"

Choose a Critical Significance Level (α: alpha):
This is typically α = 0.05. 
Calculate the test statistic:
Check your starting point.
Use a spreadsheet to calculate your results, or access a helpsheet for SPSS and check here for data entry into SPSS. 
Reject or accept your Null Hypothesis.
Either
NOTE: The calculation yields two values of the U statistic. Either can be used, but both the spreadsheet and SPSS use the smaller value. Thus:
Compare the calculated statistic with critical values (Critical values table):
 If X ≥ X_{critical} → reject H_{0} → significant result.
 If X < X_{critical} → accept H_{0} → nonsignificant result.

Look at the calculated probability (P value):
 If P ≤ α → reject H_{0} → significant result.
 If P > α → accept H_{0} → nonsignificant result.

Compare the calculated statistic with critical values (Critical values table):

Report your results:
Plot your data using the appropriate graphs.
(Oneway Chisquare: X^{2} = …, df = …, N = …, P = …)