1. As a member of Hanover Statistical Associates, you are retained by James Randi to evaluate a self proclaimed psychic, Ms. X. Ms. X claims she can "divine" for water. Randi sets up the physical aspects of the experiment (the field with 100 barrels of buried water); you are responsible for the statistical protocol and analysis. You, Randi and Ms. X agree that she will be directed to a spot. Half of the time a barrel of water will be there, half of the time it will not. There will be 200 trials. You all agree on using the binomial distribution. You also agree that to prove Ms. X has any psychic ability there must be a 99.9% confidence that her result is different than "random".
   1. [5] What are n and p?
   2. [10] To obtain the 99.9% confidence mentioned above, how many correct readings must Ms. X get out of 200?