City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150 ? i. The distribution is not normal, and the mean is 0.46.
ii. The distribution is not normal, and the mean is 0.51.
iii. The distribution is not normal, and the mean is the average of 0.46 and 0.51.
iv. The distribution is approximately normal, and the mean is 0.46.
v. The distribution is approximately normal, and the mean is 0.51.