The pilot of an experimental aircraft reported an NMAC with a low wing light aircraft on approach to CGZ.

Narrative

I was inbound to CGZ from the Northwest and reported 8 miles out saying I was on the 45 for Runway 5 at CGZ. Runway 5 is the no/low wind runway due to practice VOR/ILS approaches made by instrument students. Aircraft Y reported south of the airport for a midfield crossover for Runway 23. I contacted Aircraft Y and told him I would modify my intentions to Runway 23. The flight instructor answered me back that he would follow me in as I was at that time in a position to enter a right base to 23. Runway 23 has a right traffic pattern at CGZ. An aircraft departed 5 and the inbound Aircraft Y reported his intentions to make a mid field crossover for Runway 5. I told Aircraft Y I was now at an entry point to enter the downwind for Runway 5 and was entering the pattern. I spotted Aircraft Y when he was about 1/2 mile southeast of the airport and kept my eyes on him. The flight instructor in Aircraft Y said he would follow me in by doing a teardrop entry into the Runway 5 downwind. On my downwind leg Aircraft Y crossed over the field and made a right hand turn straight toward me which would have been the position for him to be in to make a right downwind for Runway 23. I took evasive action and called Aircraft Y to see if he saw me and I did not get a clear answer from him. The rest of the flight was uneventful with Aircraft Y landing behind me.