3.7.A—Calculate an appropriate test statistic and p-value for testing a hypothesis about a population proportion

Calculate an appropriate test statistic and p-value for testing a hypothesis about a population proportion.

• The test statistic for testing a population proportion is pp n  0 00 1 . The z-statistic has a standard normal distribution when the null hypothesis is true.
• The distribution of the test statistic assuming the null hypothesis is true (null distribution) can be approximated by a probability model (e.g., a theoretical distribution such as the standard normal distribution).
• The p-value of a one-sample z-test for a population proportion is found from the standard normal distribution using a table or technology.