I realize that we are now into the Fall semester and that this isn't of much help to you, but I would like to point out something to others seeking help for this question. I too am in an Organic Lab and we did an entire lab using those very compounds, the bromination of acetanilde, aniline, and anisole. You must trust you text book, because the reactivity is not directly linked to how much product you get, but rather what kind of product you get. It boils down to how many bromines are bonded to the ring and the position they take on the ring. For example, you can have five theoretical products for acetanilide (o-bromoacetanilide, p-bromoacetanilide, 2,4-dibromoacetanilide, 2,6-dibromoacetanilide, and 2,4,6-tribromoacetanilide) and each will have a corresponding melting point (99'C, 168'C, 145'C, 208'C, 232'C); in our class, it was experimentally determined that acetanilide will form p-bromoacetanilide. Which means that it is somewhat reactive. To really put it to scale, it's like this:
Position of the bromine - reactivity (1-5)
o- - 1
p- - 2
2,4- - 3
2,6- - 4
2,4,6- - 5