| Symbol | Meaning | Value |
| Number of people in Group 1 who thought to remove the destabilizing block | ||
| Size of Group 1 | ||
| Proportion of people in Group 1 who thought to remove the destabilizing block | ||
| Number of people in Group 2 who thought to remove the destabilizing block | ||
| Size of Group 2 | ||
| Proportion of people in Group 2 who thought to remove the destabilizing block | ||
| Combined sample proportion from both groups |
| Lower bound | |
| Upper bound |
| Skill or Concept: I can . . . | Questions to check your understanding | Rating from 1 to 5 |
| Set up null and alternative hypotheses for a two-sample test of proportions. | 1 | |
| Check that necessary conditions have been met for a two-sample test of proportions. | 2 | |
| Perform the two-sample hypothesis test of proportions. | 3 | |
| Interpret the conclusions of the test. | 4 | |
| Use technology to find a confidence interval for the difference between two proportions. | 5 |
![A number line labeled “Difference of Proportions p sub one to p sub two” and number in increments of 0.01 from 0.01 to 0.11. There is a point at approximately 0.05 labeled “p sub one to p sub two” with a range labeled as [0.02445, 0.07561]. There is text at the top reading “95% Confidence Interval.”](https://s3-us-west-2.amazonaws.com/courses-images/wp-content/uploads/sites/5738/2022/01/26114735/Picture231-300x49.png)
![A number line labeled “Difference of Proportions p sub one to p sub two” and number in increments of 0.01 from -0.05 to 0.03. There is a point at approximately -0.07 labeled “p sub one to p sub two” with a range labeled as [-0.3441 0.02024]. There is text at the top reading “95% Confidence Interval.”](https://s3-us-west-2.amazonaws.com/courses-images/wp-content/uploads/sites/5738/2022/01/26114739/Picture242-300x50.png)
| Commonly-White Names | Commonly-Black Names | Total | |
| Called back | 246 | 164 | 410 |
| Not called back | 2199 | 2281 | 4480 |
| Total | 2445 | 2445 | 4890 |
