A report by the NCAA states that 57.6% of football injuries occur during practices. A head trainer claims that this is too high for his conference, so he randomly selects 42 injuries and finds that 20 occurred during practices. Follow the steps below to conduct a hypothesis test to determine, at the 5% significance level, if the percentage of football injuries received in practices for the head trainer’s conference is less than 57.6%.
(a) List the null and alternative hypotheses for this test. (b) Determine the value of the sample’s test statistic. (c) Determine the critical value(s). (d) Determine the P-value. (e) Write a final interpretive sentence tied to the context for the hypothesis test results.