8. In Chapter 10, Problem 10 (p. 273), a new teaching method was evaluated. Twenty pairs of subjects were run in a repeated measures design. The results were in favor of the new method but did not reach signifi cance (H0 was not rejected) using the sign test with   0.051 tail. In trying to interpret why the results were not signifi cant, you reason that there are two possibilities: either (1) the two teaching methods are really equal in effectiveness (H0 is true) or (2) the new method is better, but the experiment was insensitive.
To evaluate the latter possibility, you conduct an analysis to determine the power of the experiment to detect a large difference favoring the new method such that Preal  0.80. What is the power of the experiment to detect this effect? What is beta?
education