According to a soccer coach, 75% of soccer players have had at least one sprained ankle. An athletic trainer would like to investigate this claim. To do so, the trainer selects a random sample of 125 college soccer players from across the country and finds that 99 of them have had at least one sprained ankle. The trainer would like to know if the data provide convincing evidence that the true proportion of college soccer players who have had at least one sprained ankle is greater than 75%. What are the appropriate hypotheses for this test?
Answer
A
H0: p = 0.75 versus Ha: p > 0.75, where p = the proportion of the sample of college soccer players who have had at least one sprained ankle.
B
H0: p = 0.75 versus Ha: p > 0.75, where p = the true proportion of all college soccer players who have had at least one sprained ankle.
C
H0: p = 0.75 versus Ha: p > 0.792, where p = the proportion of the sample of college soccer players who have had at least one sprained ankle.
D
H0: p = 0.75 versus Ha: p > 0.792, where p = the true proportion of college soccer players who have had at least one sprained ankle.