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 of 1020 supermarket shoppers revealed that 270 always stock up on an item when they find that item at a real bargain price. (a)  Let p represent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain. Find a point estimate for p. (Enter a number. Round your answer to four decimal places.) ____________ (b)  Find a 95% confidence interval for p. (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.) ______________

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