A student wishes to determine if a coin he is flipping is fair - that is, he wishes to see if he would get 'heads' on 50% of the flips. He flips the coin a total of 141 times and gets a total of 55 'heads.' Use this information to answer the questions below. a. Select the most appropriate null and alternative hypotheses for a hypothesis test to determine if the coin is fair. A. Ho : x = 0.5 H. : x #0.5 OB. Ho : P = 0.5 Ha : p # 0.5 O C. Ho : x # 0.5 H. : x = 0.5 D. Ho : P # 0.5 Ha : p = 0.5 E. Ho : H # 0.5 Ha : H = 0.5 OF. Ho : P = 0.5 Ha : p # 0.5 G. Ho : H= 0.5 Ha : H # 0.5 OH. Ho : p # 0.5 H. : p = 0.5 b. Suppose you wish to compute a bootstrap confidence interval. Which of the following uses of the quantile() function would produce the correct interval bounds for a 96% bootstrap confidence interval? A. c(quantile(B$mean, 0.02), quantile(B$mean, 0.98)) B. c(quantile(B$mean, 0.01), quantile(B$mean, 0.99)) b. Suppose you wish to compute a bootstrap confidence interval. Which of the following uses of the quantile( function would produce the correct interval bounds for a 96% bootstrap confidence interval? A. c(quantile(BSmean, 0.02), quantile(B$mean, 0.98)) B. c(quantile(B$mean, 0.01), quantile(B$mean, 0.99)) C. c(quantile(B$mean, 0.04), quantile(B$mean, 0.96)) c. You perform the bootstrap and end up with a 96% confidence interval of (0.30479, 0.47535). What conclusion can be made based on the above interval? Because the null value of ? #captured by the confidence interval, we should ? Ho and conclude that the coin can be considered ? reject fail to reject accept fail to accept preview answers