For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a marketing survey, a random sample of988supermarket shoppers revealed that262always stock up on an item when they find that item at a real bargain price.

(a)Letprepresent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain.Find a point estimate forp. (Enter a number. Round your answer to four decimal places.)

(b)Find a 95% confidence interval forp. (For each answer, enter a number. Round your answers to three decimal places.)

lower limit

upper limit

What is the margin of error based on a 95% confidence interval? (Enter a number. Round your answer to three decimal places.)