3. Complete a) - e) using the psychiatric data from Problem 3. The data are in Psychiatristscsv and variable denitions are in PsychiatristsDataDictionarypdf. In the HWZ template we have provided code to read in and set up the data. a) b) d) How many observations are in the data set? Produce a two-way contingency table with school of psychiatric thought in the rows and the origin of schizophrenia in the columns. You can just leave the table as it is displayed in the R output. [Hint: using the table function is the easiest approach] What are the marginal percentages for the origin of schizophrenia? [Hint you will be reporting three percentages; okay to use R as a calculator]. Explain to a layperson what is meant by marginal percentages. We have provided code that produce a new table that shows row conditional percentages instead of counts. What are the conditional percentages for the origin of schizophrenia for psychiatrists who identify with the medical school of psychiatric thought? What is meant, in layperson terms, when we refer to conditional percentages? [Okay to use R as a calculator] We have provided code that produces one bar graph to explore the association between school of psychiatric thought and the origin of schizophrenia. Using this bar graph, do the variables school of psychiatric thought and the origin of schizophrenia appear to be associated (dependent) or do the variables appear to be independent. Explain. [Note: this is a qualitative answer based only on data visualization]