A large home improvement store is considering expanding its selection of moving products, such as cardboard boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%) replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval (0.293, 0.355) for the proportion of all customers who have moved in the past five years. Sheldon, an employee who wishes to expand the selection of moving products, claims that more than 1 in 4 customers have moved in the past five years. Zachary, another employee, urges Sheldon to be bolder in his claim and say that more than 1 in 3 customers have moved in the past five years. Based on the confidence interval, which employee’s claim is plausible? Sheldon’s claim is plausible, but Zachary’s is incorrect.
Both Sheldon and Zachary have made plausible claims.
Sheldon’s claim is incorrect, but Zachary’s claim is correct.
Sheldon’s claim is plausible, but it is not certain that Zachary’s is plausible.