Consider a population proportion p = 0.16. [You may find it useful to reference the z table.]

a. Calculate the standard error for the sampling distribution of the sample proportion when n = 20 and n = 50 ? (Round your final answer to at least 4 decimal places.)

b. Is the sampling distribution of the sample proportion approximately normal with n = 20 and n = 50?

c. Calculate the probability that the sample proportion is between 0.10 and 0.12 for n = 50. (Round "z-value" to 2 decimal places and final answers to 4 decimal places.)