I need help figuring this out

3. Interpreting output for the binomial test (sign test) Suppose you are a marketing expert for a company that is producing a new kind of energy bar. You want to provide evidence that consuming that particular bar 1 hour before engaging in strenuous exercise of a long duration-such as running a marathon-will improve performance. You decide to conduct a test at a half-marathon race. Your plan is to provide your energy bar to a random sample of participants who also participated last year. You will compare their times from this year when they ate the energy bar with last year when they did not. However, you're aware of a major flaw in your research design: If participants usually improve from one year to the next regardless of whether they eat an energy bar, then you won't know whether the participants improved because of the energy bar or because of the tendency to improve from year to year. To help you think about this, you obtain a random sample of 60 participants who participated in the race in two consecutive years. Since the course is very similar every year, you want to test whether a proportion different than half of the participants improved their time in their later attempt. You use a statistical computing package to conduct a hypothesis test about a population proportion. Binomial Test Category N ObservedProp TestProp Sig.2-tailed Improved Group 1 yes 38 0.63 50 0.052 Group 2 no 22 0.37 Total 60 1.00 Given these results, complete the following statement of the results. (Use a significance level of a = .05.) Of the 60 participants in the sample who participated in the race in two consecutive years, participants (or ) improved their time in the subsequent year. A hypothesis test testing the null hypothesis that of the participants improved was (P = ) suggesting that of repeat participants improve their time from one year to the next