Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 10 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 13 13 12 12 14 17 4 12 3 12 7 15 x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated.

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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.