3.13.A—Calculate an appropriate test statistic and p-value for testing a hypothesis for the difference between two…

Calculate an appropriate test statistic and p-value for testing a hypothesis for the difference between two population proportions.

• The test statistic for the difference between two population proportions is z pp pp nn cc   12 12 0 1 11 , where p np np nn c   1 1 2 2 12 is the proportion of successes for the two groups combined. The z -statistic has a standard normal distribution when the null hypothesis is true.
• The p-value for a two-sample z-test for the difference between two population proportions can be found from the standard normal distribution using a table or technology.