PROBLEM 2 In this class experiment, we will look at two proportions to compare the basketball shooting performance of two volunteers (or two teams of volunteers). Two more volunteers are needed to be the referees, judging whether the shots went in or not. Based on the shooting performance, which shooter is better? Statistically speaking, which shooter is better at a = 0.05 significance level? A. Data collection: at the ground level of the class there will be two bins set up on the floor, at the opposite ends of the room. Each shooter will give in turn two series of 10 shots from a marked distance from the bin. The scores will be recorded. Success rate p Shooter #1 9/20 0.45 Shooter #2 7/20 0.35 B. State the hypothesis and identify the claim C. Find the critical value D. Find the pooled value of the proportion estimate E. Test statistic F. Sketch (Graph) G. Decision H. How many shots are needed to yield statistically significant result (e.g., showing the difference for the same proportion estimates)