Find a nonzero vector orthogonal to the plane through the points P, Q, and R,...

The assumptions for a signicance tests for the proportion are:

- Data is from a random sample

- Sample is sufficiently large, which can be assumed to be true when $n{p}_o\ge 15$ and $n(1-p_0)\ge 15$

A significane test for a proportion can be used for both quantitive and categorical data

We then note the the actual assumptions are: Data is from a random sample $n{p}_0$ and $n(1-p_0)$ are both greater then 15.