Final answer:
To construct a confidence interval for a population proportion, use the formula (p' - EBP, p' + EBP), where p' is the sample proportion and EBP is the error bound. np' and nq' must be greater than five for the confidence interval to be valid.
Step-by-step explanation:
To construct a confidence interval for a population proportion given a level of confidence, you can use the following formula: (p' - EBP, p' + EBP). Here, p' represents the sample proportion, x/n, where x is the number of successes and n is the sample size. q' can be calculated as 1-p'. The confidence interval can be used if np' and nq' are both greater than five.