ll]. Is the proportion of free throws made by the Golden State Warriors better at games they play at home versus those they play on the road? Suppose that the theoretical approach with sample data below led us to reject the null hypothesis and conclude that the 65W do better at home than away when tl'Irowing free-th rows. i. If we made an error using the given data, which type could it be? Type | or Type II, and what would that mean in context? ii. In stead of a theoretical approach as on Quiz 4, now use a simulationbased approach to answer the same question [Hypothesis test of the difference between success of free throw shooting at home versus away]. iii. Also use a simulation app mach to nd and interpret a 9396 condence interval for how much better their free throw suooess rate is at home compared to away. 11. Find the sample size needed to give, with 95% condence, a margin of error within 13% when estimating a proportion. a. First, find the sample size needed if we have no prior knowledge about the population proportion p. h. Then nd the sample size needed if we have reason to believe that p "=- 0.? c. Finally nd the sample size needed if we assume p "=- DJ is a good estimate, but want to be 9956 condent