8.36 Can we use the z test? In each of the following cases, state whether or not the Normal approximation to the binomial should be used for a significance test on the population proportion p. Explain your answers.

  1. (a) n = 30 and H0: p = 0.3.

  2. (b) n = 60 and H0: p = 0.2.

  3. (c) n = 100 and H0: p = 0.12.

  4. (d) n = 150 and H0: p = 0.04.