| Testing Population Proportion (normal approximation) | |
| Sample size | 10000 |
| Sample Proportion | 0.8571 |
| Null hypothesis | 0.69 |
| Type I error (alpha) | 0.05 |
| 1-sided critical value | 0.69760733688508 |
| 1-sided test | Reject the Null Hypothesis |
| 2-sided Confidence Interval (sample proportion) | [ 0.848035299002469 , 0.866164700997531 ] |
| 2-sided test | Reject the Null Hypothesis |
| Testing Population Proportion (Agresti-Coull method) | |
| Sample size | 10000 |
| Sample Proportion | 0.8571 |
| Null hypothesis | 0.69 |
| Type I error (alpha) | 0.05 |
| Left 1-sided confidence interval | [ 0.849396929571886 , 1 ] |
| Right 1-sided confidence interval | [ 0 , 0.864609892779674 ] |
| 2-sided Confidence Interval (sample proportion) | [ 0.847899620097114 , 0.866026128266549 ] |
| Testing Population Proportion (Exact and Wilson method) | |
| Sample size | 10000 |
| Sample Proportion | 0.8571 |
| Null hypothesis | 0.69 |
| Type I error (alpha) | 0.05 |
| Left 1-sided confidence interval (Exact method) | [ 0.851216580742396 , 1 ] |
| Right 1-sided confidence interval (Exact method) | [ 0 , 0.862829135534467 ] |
| 2-sided Confidence Interval (Exact method) | [ 0.850086742230297 , 0.863904584643207 ] |
| Left 1-sided confidence interval (Wilson method) | [ 0.851246871272258 , 1 ] |
| Right 1-sided confidence interval (Wilson method) | [ 0 , 0.862759951079303 ] |
| 2-sided Confidence Interval (Wilson method) | [ 0.850103518053801 , 0.863822230309862 ] |