Question: A package designer who wishes to determine if there is any difference in the way customers react to two new package designs. He places equal numbers of packages on the shelf in a supermarket and observes how many of each package are purchased each day. After 500 purchases have been made, 150 of the first package design and 350 of the second design have been purchased. Can we conclude that there is any difference in the way consumers react to the two package designs? Use an \(\alpha \) level of .05.