Hypothesis Testing Concepts for Proportions

I. For a one-sample z-test for a population proportion, the null hypothesis is typically stated as $H_0: p = p_0$.

II. The P-value is the probability of obtaining a sample statistic as extreme as, or more extreme than, the one observed, assuming the null hypothesis is true.

III. A small P-value provides strong evidence in favor of the null hypothesis.

Which of the statements above are true?