A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail. a) Estimate the true proportion of shoppers during the year whose visit was because of a coupon they'd received in the mail. b) Interpret the confidence interval in context. The store management can be 95% confident that the population proportion of customers visiting the store because they received a coupon is within our confidence interval The store management can be 95% confident that any sample of shoppers would have a proportion of visitors whose visit is because of receiving a coupon be within this confidence interval 95% of customers visiting the store because of receiving a coupon is within our confidence interval

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.

a) Estimate the true proportion of shoppers during the year whose visit was because of a coupon they'd received in the mail.

b) Interpret the confidence interval in context.

  • The store management can be 95% confident that the population proportion of customers visiting the store because they received a coupon is within our confidence interval
  • The store management can be 95% confident that any sample of shoppers would have a proportion of visitors whose visit is because of receiving a coupon be within this confidence interval
  • 95% of customers visiting the store because of receiving a coupon is within our confidence interval
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