A teacher collected data from a class of eighth grade students on whether or not they play a sport and whether or not they are in the school musical. The two-way table below shows the data collected.Which association does the two-way table suggest? A. None of the associations listed are correct. B. Those who are in the school musical tend not to play a sport. C. Those who are in the school musical tend to play a sport. D. Those who are not in the school musical tend not to play a sport.

Answer:B. Those who are in the school musical tend not to play a sport.Step-by-step explanation:The relative frequency for a data set n is calculated by dividing each frequency [tex]f_{x_i}[/tex] by n [tex]f_r = \frac{f_{x_i}}{n}[/tex]. We have a table that relates students who are in music school with students who practice a sport. First, we take the population that is in the music school from the table. Then, of the students who are in the music school, 5 practice some sport and 12 do not practice any sport Then we calculate the relative frequencies for those who practice a sport and those who do not practice any sport. ________________________________________________________ Relative frequency   Students that are  in the school musical. n=17.  -------------------------------------------------- --------------------------------------------- Sport          No Sport      Total n   5                  12                   17 _____________________________________________ _______________________________________________ Relative frequency   Students that are  in the school musical. n=17 -------------------------------------------------- --------------------------------------   Sport  (fr)           No Sport  (fr)         Total n   5/17 = 0.29           12/17= 0.71                  17 ________________________________________________ ________________________________________________ Most students who are in music school do not practice a sport. [tex]f_r = \frac{12}{17} = 0.705[/tex]70% of students who are in music school do not practice a sport Now we calculate the relative frequency of students who are not in music school. Of these students 9 of them practice a sport and 4 of them do not practice any sport. __________________________________________________________Relative frequency  Students that are not in the school musical. n=13 -------------------------------------------------- ----------------------------------------------------------  Sport           No Sport      Total n   9                       4                 13 __________________________________________________________  _______________________________________________ Relative frequency  Students that are not in the school musical. n=13 -------------------------------------------------- --------------------------------------  Sport   (fr)              No Sport   (fr)                  Total n 9/13= 0.69                 4/13= 0.21                         13 _______________________________________________ Note that of students who are not in music school, most of them practice a sport. [tex]f_r = \frac{9}{13} = 0.69[/tex] Finally you can conclude that  the association does the two-way table suggest is: B. Those who are in the school musical tend not to play a sport.