Question

For hypothesis testing:

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.

Answer 1

The question is about hypothesis testing for proportions in the context of college soccer players and sprained ankles.

Step-by-step explanation:

The question is related to hypothesis testing in the context of proportions. The scenarios described are different hypotheses about the proportion of college soccer players who have had at least one sprained ankle. The null hypothesis (H0) represents the claim or assumption being tested, while the alternative hypothesis (Ha) represents the alternative claim that the researcher wants to support. The letter 'p' is used as a symbol to represent the proportion. The scenarios provided involve different values for the proportion and different assumptions about whether it is the sample proportion or the true population proportion.

In scenario a, H0: p = 0.75 versus Ha: p > 0.75, p represents the proportion of the sample of college soccer players who have had at least one sprained ankle. This is testing whether the sample proportion is greater than 0.75.