3 The proportion of adults in a large village who support a proposal to build a bypass is denoted by \(p\). A random sample of size 20 is selected from the adults in the village, and the members of the sample are asked whether or not they support the proposal.
- Name the probability distribution that would be used in a hypothesis test for the value of \(p\).
- State the properties of a random sample that explain why the distribution in part (i) is likely to be a good model.
\(4 X\) is a continuous random variable.