9.31 A random sample of n = 1000 observations from a binomial population produced x = 279.

a. If your research hypothesis is that p is less than 0.3, what should you choose for your alternative hypoth- esis? Your null hypothesis?

b. What is the critical value that determines the rejec- tion region for your test with a = 0.05?

c. Do the data provide sufficient evidence to indicate that p is less than 0.3? Use a 5% significance level.