1. Let p equal the proportion of triathletes who suffered a training-related overuse injury during the past year. Out of 330 triathletes who responded to a survey, 177 indicated that they had suffered such an injury during the past year. a) Use these data to give a point estimate of p. b) Use these data to find an approximate 90% confidence interval for p. Interpret the interval in the context of the problem. c) Do you think that the 330 triathletes who responded to the survey may be considered a random sample from the population of triathletes? Explain. d) What sample size is needed for the 90% confidence interval for p to have length of at most 0.05? Show work for two scenarios: (i) you need to use the information from the sample of the 330 triathletes, (ii) you must find the sample size without using the information from this sample