As long as the input points have a correctly defined spatial reference in UTM, you can....
1. Load the data into a new ArcMap session, right click somewhere in the data frame to bring up the df properties dialog,
go to the coord sys tab, select your desired coordinate system (see Continental / Africa).
2. Or use the Project tool from the toolbox. This will create a new feature in the output coordinate system.
Also from step 1 above, you can right click on the layer in the toc, and export the data. Use "coord sys of df" option to write out a new feature in the new projection.
Good luck, Neil