Suppose that the proportion of successes in a population is p and that a very large simple random sample of size n is obtained from that population.
What does the central limit theorem say about the distribution of the sample proportion?
a. The sample proportion has mean equal to the population mean y and standard deviation equal to σ/√6
b. The sample proportion is binomially distributed with parameters n and p.
c. The sample proportion is approximately normally distributed if the sample is large enough. √p(1-P)/nn
d. The sample proportion has mean equal to p and standard deviation equal to v