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. (please round all proportions to four decimal places) 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. O 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 O 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 O 95% of customers visiting the store because of receiving a coupon is within our confidence interval 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. (please round all proportions to four decimal places) 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. O 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 O 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 O 95% of customers visiting the store because of receiving a coupon is within our confidence interval