A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of the following statements are correct? Select all that apply. There is a 95% chance that the 95% confidence interval actually contains the population proportion. We don't know if the 95% confidence interval actually does or doesn't contain the population proportion. If we were to use a 90% confidence level, the confidence interval from the same data would produce an interval wider than the 95% confidence interval. The sample proportion must lie in the 95% confidence interval. The population proportion must lie in the 95% confidence interval.