Find a 95% confidence interval for p. (For each answer, enter a number. Round your answers to three decimal places.) lower limit      upper limit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 of 994 supermarket shoppers revealed that 272 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     

Give a brief explanation of the meaning of the interval.
We are 5% confident that the true proportion of shoppers who stock up on bargains falls within this interval.We are 95% confident that the true proportion of shoppers who stock up on bargains falls outside this interval.    We are 95% confident that the true proportion of shoppers who stock up on bargains falls within this interval.We are 5% confident that the true proportion of shoppers who stock up on bargains falls above this interval.

(c)

 As a news writer, how would you report the survey results on the percentage of supermarket shoppers who stock up on items when they find the item is a real bargain?
Report p̂.Report the confidence interval.    Report the margin of error.Report p̂ along with the margin of error.

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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