Researchers are interested in whether two therapeutic alternatives yield different response rates. Assuming they are only willing to tolerate a 5% type I error rate, if it is observed that one therapy has a response rate 30 percentage points higher than the other with a standard error of the difference in proportions of 15 percentage points, then the researchers would reject the null hypothesis that the response rates are the same for the two therapies versus the alternative hypothesis that they are different.

true or false?