I understand the sign test. But this portion of the hw is on power, and for some reason it is getting the best of me right now. Not exactly looking for answers. I just need help on how to set it up. Thanks in advance

You are considering testing a new drug that is supposed to facilitate learning in mentally retarded children. Because there is relatively little known about the drug, you plan to use a nondirectional alternative hypothesis. Since your resources are limited, you can test only 15 subjects. The subjects will be run in a repeated measures design and the data will be analyzed with the sign test, using = 0.05_{2 tail}.

1. Refer to Case Study 11-1. If the drug has a moderate effect on learning such that P_real = 0.70, what is the probability you will detect the effect when doing your experiment.
2. 0.2969
3. 0.0176
4. 0.4321
5. 0.0352

When calculating power, you need to do two things.

1. Find a set of values that would allow you to reject the null. So with N=15 the values that would allow us to reject the null are

2. Find the probability of obtaining the above values under the assumption that the value of the alternative hypothesis is true, ie., p=.7

1. Refer to Case Study 11-1. What is the probability of a Type II error?
2. 0.7999
3. 0.7031
4. 0.9824
5. 0.9648

1. Refer to Case Study 11-1. Assume N is increased from 15 to 20, what is the power this time?
2. 0.4163
3. 0.2969
4. 0.6161
5. 0.2458

1. If the power of an experiment is 0.3400, the probability of retaining H0 when H0 is false is _____.
2. 0.6600
3. 0.3400
4. 0.5000
5. 1.0000