Question

A catalog sales company promises delivery of orders within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders on time is 0.82 to 0.94. Which one of the following statements is true?

a. Between 0.82 and 0.94 of all orders arrive in time. b. We are 95% confident that between 0.82 and 0.94 of all orders placed will arrive on time. c. We are 95% confident that between 0.82 and 0.94 of the orders placed by customers in this sample will arrive on time. d. We are 95% confident that 0.88 of all orders will arrive on time.

Answer 1

Solution :

Given that,

A 95% confidence interval for the proportion of all orders on time is,

0.82 < p < 0.94

True statement is ,We are 95% confident that between 0.82 and 0.94 of all orders placed will arrive on time .

b)