A researcher administers a treatment to a sample of n 50 pa

A researcher administers a treatment to a sample of n = 50 participants and uses a hypothesis test to evaluate the effect of the treatment. The hypothesis test produces a z-score of z = 1.37. Assuming that the researcher is using a one-tailed test with ? = .05, what decision should be made?

Solution

Given Z = 2.37 from probability distribution table for z = 2.37 p1= 0.9911 and for z= -2.37, p2= 0.008894 (Since, its two tailed test) and for z=-2.37. Hence, he can be sure that (p1-p2) = 98.22% of times the treatment would be effective.