In Problem 1.18 we describe a survey investigating the link between performing euthanasia and suicide risk in Australian veterinarians [93]. The article states that of the 345 female vets surveyed, 102 were at risk of suicide. Of the 192 male vets surveyed, 50 were at risk of suicide.

(a) Make a 95% confidence interval for the difference in population proportions p1 p2, where p1 is the proportion of female Australian veterinarians at risk of suicide and p2 is the proportion of male Australian veterinarians at risk of suicide. Complete the Execute Calculation and Draw Conclusion components of the FRED technique.

b) Does the confidence interval suggest that there is a difference in suicide risk between female and male Australian veterinarians? Explain why or why not.

(c) The data for this study came from a survey where people voluntarily chose to respond. How do you think this may impact the sample proportions p1 and p2?