*Conclusion: McNemar test always comes up with exact 2-tailed p-value.

*This (identical) p-value is obtained from Cochran's test only if METHOD = EXACT is added to command. This requires the SPSS exact tests option to be purchased and installed.

*Run SHOW LICENSE. if you're not sure whether you have this option at your disposal. It's probably included in student and trial licenses.

*Without METHOD = EXACT Cochran's test is based on an approximate ("asymp" for "asymptotic") p-value and McNemar's test uses the exact p-value, explaining the difference.