7
QuizMultiple Choice

Testing a Claim about a Population Proportion

Question 7 • CA-Statistics and Probability B

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.Test and CI for One ProportionTest of p = 0.75 vs p > 0.75Sample1X99N125Sample p0.79295% CI(0.72085, 0.86315)Z-Value1.084P-value0.1391

Answer
A
Because the P-value > α = 0.05, the correct decision is to reject H0.
B
Because the P-value > α = 0.05, the correct decision is to reject Ha.
C
Because the P-value > α = 0.05, the correct decision is to fail to reject H0.
D
Because the P-value > α = 0.05, the correct decision is to fail to reject Ha.
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According to a soccer coach, 75% of soccer…