1. (a) [5 points] An accounting firm annually monitors the U.S. Postal Service (USP
    of interest is the percentage of mail delivered on time. In a sample of 10,000 items mailed between Dec.
    10 and Mar. 3-the most difficult delivery season due to
    bad weather and holidays-the accounting firm
    determined that 7,000 items were delivered on
    time. Use this information to make a statement about
    the likelihood of an item being delivered on time by the USPS. Assuming a
    confidence level of 95%, the
    confidence interval (CI) for the likelihood (in decimal form, rather
    than %) of an item being delivered on
    time (when it was mailed between Dec. 10 and Mar. 3) is (round to
    three decimal places)
    (i) (0.698, 0.702)
    (ii) (0.599, 0.801)
    (iii) (0.685, 0.715)
    (iv) (0.691, 0.709)
    (b) [5 points] Explain what is meant by the statement, "We are 95% confident that an interval estimate
    contains ." (Note: there are many acceptable answers.)