1. Confidence Interval for proportion Stanford University conducted a study of whether running is healthy for men and women over age 50. During the first year of the study, 7 of the 451 members of the 50-Plus Fitness Association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period. Round your answers to 3 decimal places. a) Define the random variable in words X et P' X: P': b) P'~ c) Construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period i) State the confidence interval: ii) Calculate the error bound: iii) Interpret the 97% confidence interval in the context of the problem. iv) Sketch the graph