Question

The following two-way table shows the distribution of weekend work hours and how long employees have been at the company. a 4-column table with 3 rows. column 1 has entries work weekends, do not work weekends, total. column 2 is labeled less than 5 years with entries 30, 5, 35. column 3 is labeled 5 or more years with entries 5, 10, 15. column 4 is labeled total with entries 35, 15, 50. the columns are titled employment status and the rows are titled weekend work hours. suppose an employee is selected from this company at random. let event a = work weekends and event b = worked less than 5 years. are events a and b independent?

Answer 1

To determine if events A and B are independent, we need to compare P(A) to P(A|B).

P(A) = (35+5)/50 = 0.8

P(A|B) = 30/35 = 0.857

Since P(A) is not equal to P(A|B), we can conclude that events A and B are dependent.