I'm struggling with an interpretation of p-value and confidence interval. They are both in agreement, but yet, can't be used together to make one statement about population proportion. So...am I forced to emphasize one over the other in an inference of population proportion? And which should I pick?!?
- Ho = p ≥ 90%
- Ha = p < 90%
- p-hat = 584/649 = 89.98%
- p-value = 0.514 > .01; fail to reject null hypothesis
- Confidence interval: 99% upper bound = 93%