You're considering testing the new drug which is supposed to facilitate learning in mentally retarded children. Because there is relatively little known about' the drug, you plan to employ a nondirectional alternative hypothesis. Since your resources are limited, you can test only 15 subjects. The subjects will be run in the repeated measures design and data will be examined with the sign test, using a = 0.05_{2 real}
a. If the drug has a medium effect on learning such that p_{real} - 0.70, find out the probability you will detect the effect when doing your experiment?
b. Determine the probability of making a Type II error? (Please show all your work.)