Answer:
The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
In a sample of 500 adults, 345 had children.
This means that
99% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).