(a) Define the term “sampling distribution” of the sample proportion. Which theorem and which distribution do we use to model the sampling distribution of a sample proportion?

(b) How does the shape and spread of the sampling distribution change as the sample size increases?

(c) Let d be the difference between the point estimate and the null value, and n be the sample size. Is the following true or false? Give your reason.
For a high value of n, a low value of d can still indicate a statistically significant difference that leads to rejecting the null hypothesis.