What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1 in the following scenarios? (For each answer, enter a number. Round your answers up the nearest whole number.)

(a) a preliminary estimate for p is 0.36

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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 of1012supermarket shoppers revealed that266always 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 _________