Which of the following statements is/are true concerning conditions for chi-squared procedures involving two-way tables?
I. Data must come from a random sample or random samples.
II. Expected counts must all be greater than $1$, and no more than $20\%$ of expected counts can be less than $5$.
III. $Np$ and $N(1-p)$ must both be greater than $5$ where $N$ is the number of trials and $p$ is the proportion of successes.