5. The table below summarizes the age (in years) of 192 adults at the time that they were diagnosed for schizophrenia and their gender. We want to conduct a test, at a 5% significance level, to determine if men and women have the different distributions of age at diagnosis for schizophrenia. Age Group (in years} Ages 20 to 29 Ages 30 to 39 Ages 40 to 49 Total 53 23 9 85 46 40 21 10? 99 53 30 192 [a] l5pts} Compute the test statistic. Show your work. (b) l2pts] Regardless of your test statistic in the previous part, assume that pvalue = 9.024. What can we conclude about the distributions between men and women? (cl (4ptsl Find the conditional distribution of age at diagnosis for schizophrenia for men. Also, find the conditional distribution of age at diagnosis for schizophrenia for women. Ages 20 to 29 Ages so to 39 Ages 40 to 49 (d) (aptsl Discuss the results about the differences between men and women using the conditional distributions from the previous part