It is known that 30 percent of small steel rods produced by a standard process will break when subjected to a load of 3000 pounds. In a random sample of 50 similar rods produced by a new process, it was found that 21 of them broke when subjected to a load of 3000 pounds. Investigate the hypothesis that the breakage rate for the new process is the same as the rate for the old process by carrying out a χ2 test of goodness-of-fit.