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For this problem, carry at least four digits after the decimal in your calculations. Answers may...

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 734 women shoppers revealed that 626 remained loyal to their favorite supermarket during the past year (i.e., did not switch stores).

(a) Let p represent the proportion of all women shoppers who remain loyal to their favorite supermarket. Find a point estimate for p. (Round your answer to four decimal places.)
  

(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.)

lower limit    
upper limit    

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

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