- Calculate a confidence interval for the difference in proportions of two groups.
- Make conclusions based on a confidence interval.
Conditions for the Confidence Intervals for the Difference in Proportions
Similar to when we use a confidence interval to draw conclusions about a single proportion, we need to check a set of conditions to ensure the interval is appropriate for the data.
- Random samples: The observations represent a random sample of the population.
- Independence: The samples are independently selected.
- Sample size: [latex]n_{1}\hat{p}_{1} \geq 10[/latex] and [latex]n_{2}\hat{p}_{2} \geq 10[/latex]