Please use RSTUDIO

is 5. In a classic study of peptic ulcer, blood types were determined for 1,655 ulcer patients. The accompanying table shows the data for these patients and for an independently chosen group of 10,000 healthy controls from the same city. Perform a test to see if the population distribution of the ulcer patients is different from the population distribution of the patients in the control group. Patient Group Blood Type Ulcer Control O 911 4578 A 579 4219 B 124 890 AB 41 313 Total 1655 10000 (a) We have discussed 3 different x tests: Goodness of Fit, Independence Test and Homogene- ity Test. Which test should you run for the information given and how do you know? (b) Get the data table into R as a matrix. Do not include the column totals. (c) Calculate the expected values for the observed values in the table. Do these pass the greater than 5 criteria for the expected values? (d) Perform the x2 test you decided upon. Give me your hypotheses, test code and output, and a well written conclusion