A study reported in the journal Nature in 1994 (Dudink, 1994)

investigated 761 premier-league professional soccer players, and found that 288 of them were born from September to November. Design a suitable test for a birthday bias among premier-league soccer players. Decide upon appropriate hypotheses, sketch the null distribution and the area represented by the P-value, give the R command for the P-value, and report your results. Interpret your findings for a lay audience.