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 911 4578 A 579 4219 B 124 890 AB 41 313 Total 1655 10000 (a) We have discussed 3 different tests: Goodness of Fit, Independence Test and Homogene- ity Test. Which test should you run for the information given and how do you know?

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.