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%. The computer output gives the results of a z-test for one proportion.
What conclusion should be made?
There is convincing evidence that college soccer players will have at least one sprained ankle at least 75% of the time.
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%.
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%.
Test and CI for One Proportion
Test of p = 0.75 vs p > 0.75
Sample X N Sample p 95% CI Z-Value P-value
1 99 125 0.792 (0.72085, 0.86315) 1.084 0.1391