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 fir.ds 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%. The computer output gives
the results of a z-test for one proportion.
Test and CI for One Proportion
Test of p 0.75 vs p > 0.75
What conclusion should be made?
O There is convincing evidence that college soccer
players will have at least one sprained ankle at least
75% of the time.
O There is not convincing evidence that college soccer
players will have at least one sprained ankle more
than 75% of the time.
There is convincing evidence that the true
proportion of college soccer players who have had at
least one sprained ankle is greater than 75%.
O There is not convincing evidence that the true
proportion of college soccer players who have had at
least one sprained ankle is greater than 75%.
P-
Sample x
24
Sample
1
99 125
P
959 CI
(0.72085,
2-
Value
value
0.792 0.86315)
1.084
0.1391