Chapter 9.5, Problem 9.30E

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 $\alpha =.05$ ?

c. Do the data provide sufficient evidence to indicate that p is less than .3? Use a 5% significance level.