The College Bookstore has four checkout stands. The store manager noticed that registers 3 and 4 served fewer students than registers 1 and 2. She is not sure whether the layout of the store channels customers into these registers, whether the checkout clerks in these lines are simply slower than in the other two, or whether she was just seeing random differences.

The manager kept a record of which stands the next 1,000 students chose for checkout. The students checked out of the four stands according to the following pattern:

Stand 1 Stand 2 Stand 3 Stand 4 338 275 201 186 Based on these data, can the store manager conclude that the proportions of students who use the four checkout stands are equal? 1Use an a = 0.05.2