Question: In a poll of 1027 randomly selected adults aged 18 or older, 23% stated that they were followers of some religion. The margin of error was 3 percentage points with 95% confidence.

A. Are the requirements for constructing a confidence interval about \(\hat{p}\) satisfied? Justify your answer.

B. Construct a 95% confidence interval about p. Show all steps (by hand) to receive full credit! You may round your interval to the thousandths place if necessary. After you have constructed your interval, explain in sentence form how you would interpret that interval to receive full credit.