• State the statistical hypotheses;
• State the statistical tests you choose to use. Be specific (how many population, right, left or two-tail, and why do you choose this test);
• State the decision rules;
• Perform the statistical tests in R or by hand;
• Report the results;
• State the statistical decision.

A study examined the rates of posttraumatic stress disorder (PTSD) in mothers and fathers. Parents were interviewed 5 to 6 weeks after an accident or a new diagnosis of cancer or diabetes mellitus type I for their child. Twenty-eight of the 175 fathers interviewed and 43 of the 180 mothers interviewed met the criteria for PTSD. Is there sufficient evidence to conclude that fathers are less likely to develop PTSD than mothers when a child is traumatized by an accident, cancer diagnosis, or diabetes diagnosis?

Answer this question by going through the steps listed in the above instruction.