5. A.J. Jones and J.R. Smith both work 225 days a year, one at a department store owned by Lancelot Frisbury and the other at a print shop owned by Lancelot's brother Gawain. Every day both of them eat an apple for lunch and toss the core in the general direction of the waste-basket. Last year A.J. missed the basket 45 times and J.R. missed 54 times. a Test whether A.J. has a significantly higher success rate in getting the core into the basket than J.R. Use the p-value method. b) What is an estimate for the standard error of the difference in their proportions of success, i.e. getting the core in the basket? c) Test whether A.J. Jones's success rate is significantly higher than 76%