(2) (Smoking) A recent Gallup survey of 1016 randomly selected adults showed that 21% of the respondents smoke. Use the 2% significance level to test the claim that 20% adults smoke.
(a) Identify the null and alternative hypothesis in symbolic form.
(b) Determine the type of test (Two-, Left-, or Right-tailed test), the critical value, and sketch the rejection region.
(c) Suppose you failed to reject the null hypothesis, write a conclusion in plain English.