8. Generate sequentially random samples of size 5 from a binomial population with n = 50 and p = 0.5. Conduct a sequential test of the hypothesis H0: p = 0.5 versus H1: p = p1 > 0.50 at significance level α = 0.05 and power 1 − β = 0.90 at p = 0.52; that is the desired value of the probability of type II error is to be β = 0.10 at p = 0.52. (Hint: A random sample can be generated using any one of the statistical packages discussed in this book. For example, MINITAB can generate a random sample from a given distribution as follows: select Calc >

Random data > Distribution, and then select in the dialog box, the sample size and appropriate parameters of the distribution, and click OK.)

430 9 Hypothesis Testing