Chapter 12.2, Problem 83E

In each of Exercises 12.79–12.84, we have given the number of successes and the sample size for a simple random sample from a population. In each case, do the following.

1. a. Determine the sample proportion.
2. b. Decide whether using the one-proportion z-test is appropriate.
3. c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

12.83 x = 16, n = 20, H₀: p = 0.7, H_a: p ≠ 0.7, α = 0.05