A researcher examined rates of posttraumatic stress disorder (PTSD) in mothers and fathers. Parents were interviewed 5 weeks after an accident of new diagnosis of cancer or type I diabetes for their child. 28 of the 175 fathers and 43 of the 180 mothers that were interviewed met the criteria for PTSD. Is there sufficient evidence for us to conclude that fathers are less likely to develop PTSD than mothers when a child is traumatized by an accidnt of serious diagnosis? use alpha=0.05. write the appropriate hypothesis.