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 .3, what should you choose for your alternative hypothesis? Your null hypothesis?
b. What is the critical value that determines the rejection region for your test with α = .05?
c. Do the data provide sufficient evidence to indicate that p is less than .3? Use a 5% significance level.