A95% 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. 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. 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. the population proportion must lie in the 95% confidence interval.

All but last statement are correct.

Step-by-step explanation:

True. Confidence interval gets wider as the confidence level decreases.  

True. Confidence interval is constructed around sample mean.

True. Constructing 95%. confidence interval for a population proportion using a sample proportion from a random sample means the same as the above statement.

True. There is 95% chance that confidence interval contains population proportion and 5% chance that it does not.

False. There is 95% chance that population proportion lies in the confidence interval.

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