Verify that the two-sample t test at level of H0: X = Y versus HA: X = Y rejects if and only if the confidence interval for X Y does not contain zero.

Lecture 11: Difference in Population Proportions 1. Independent Samples Scenario -‐ Two samples are independent samples when the measurements in one sample are not related to the measurements in the other sample. -‐ Example: 1. Random samples taken separately from 2 populations and same response variable is recorded for each individual. 2. One random sample is taken and a variable is recorded 3. Participants randomly assigned