Question 1.

(3 points) 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 142 times and gets a total of 84 '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. O A. Ho : p / 0.5 Ha : p = 0.5 O B. Ho : / / 0.5 Ha : 1= 0.5 O C. Ho : A = 0.5 Ha : / / 0.5 O D. Ho : I = 0.5 Ha : 1 / 0.5 O E. Ho : 1 / 0.5 Ha : I = 0.5 OF. Ho : p =0.5 Ha : p / 0.5 O G. Ho : p / 0.5 Ha : p = 0.5 OH. Ho : p =0.5 Ha : 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 92% bootstrap confidence interval? O A. c(quantile(B$mean, 0.02), quantile(B$mean, 0.98)) O B. c(quantile(B$mean, 0.04), quantile(BSmean, 0.96)) O C. c(quantile(B$mean, 0.08), quantile(B$mean, 0.92)) c. You perform the bootstrap and end up with a 92% confidence interval of (0.51873, 0.66437). 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